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Finding the Fourth Proportional to 7,895,314.85, 10,896,478.31 and 4,798,342.63

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Solution

The fourth proportional to 7,895,314.85, 10,896,478.31 and 4,798,342.63 is: 6,622,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895,314.85 : 10,896,478.31 = 4,798,342.63 : x
  2. Step 2: Convert to fraction form
    7,895,314.85/10,896,478.31 = 4,798,342.63/x
  3. Step 3: Cross multiply
    7,895,314.85x = 10,896,478.31 × 4,798,342.63
  4. Step 4: Simplify right side
    7,895,314.85x = 52,285,036,313,269.25
  5. Step 5: Solve for x
    x = 52,285,036,313,269.25/7,895,314.85
  6. Step 6: Final answer
    x = 6,622,286.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.