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Finding the Fourth Proportional to 6,356.48, 8,747.32 and 5,864

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Solution

The fourth proportional to 6,356.48, 8,747.32 and 5,864 is: 8,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.48 : 8,747.32 = 5,864 : x
  2. Step 2: Convert to fraction form
    6,356.48/8,747.32 = 5,864/x
  3. Step 3: Cross multiply
    6,356.48x = 8,747.32 × 5,864
  4. Step 4: Simplify right side
    6,356.48x = 51,294,284.48
  5. Step 5: Solve for x
    x = 51,294,284.48/6,356.48
  6. Step 6: Final answer
    x = 8,069.61

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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.