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Finding the Fourth Proportional to 10,565.72, 15,847.66 and 6,404.49

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Solution

The fourth proportional to 10,565.72, 15,847.66 and 6,404.49 is: 9,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.72 : 15,847.66 = 6,404.49 : x
  2. Step 2: Convert to fraction form
    10,565.72/15,847.66 = 6,404.49/x
  3. Step 3: Cross multiply
    10,565.72x = 15,847.66 × 6,404.49
  4. Step 4: Simplify right side
    10,565.72x = 101,496,179.99
  5. Step 5: Solve for x
    x = 101,496,179.99/10,565.72
  6. Step 6: Final answer
    x = 9,606.18

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