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Finding the Fourth Proportional to 7,744.34, 10,687.41 and 4,387.15

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Solution

The fourth proportional to 7,744.34, 10,687.41 and 4,387.15 is: 6,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.34 : 10,687.41 = 4,387.15 : x
  2. Step 2: Convert to fraction form
    7,744.34/10,687.41 = 4,387.15/x
  3. Step 3: Cross multiply
    7,744.34x = 10,687.41 × 4,387.15
  4. Step 4: Simplify right side
    7,744.34x = 46,887,248.85
  5. Step 5: Solve for x
    x = 46,887,248.85/7,744.34
  6. Step 6: Final answer
    x = 6,054.39

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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.