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Finding the Fourth Proportional to 10,962.56, 16,446 and 3,565.68

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Solution

The fourth proportional to 10,962.56, 16,446 and 3,565.68 is: 5,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.56 : 16,446 = 3,565.68 : x
  2. Step 2: Convert to fraction form
    10,962.56/16,446 = 3,565.68/x
  3. Step 3: Cross multiply
    10,962.56x = 16,446 × 3,565.68
  4. Step 4: Simplify right side
    10,962.56x = 58,641,173.28
  5. Step 5: Solve for x
    x = 58,641,173.28/10,962.56
  6. Step 6: Final answer
    x = 5,349.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.