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Finding the Fourth Proportional to 10,565.09, 14,581.98 and 7,217.15

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Solution

The fourth proportional to 10,565.09, 14,581.98 and 7,217.15 is: 9,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.09 : 14,581.98 = 7,217.15 : x
  2. Step 2: Convert to fraction form
    10,565.09/14,581.98 = 7,217.15/x
  3. Step 3: Cross multiply
    10,565.09x = 14,581.98 × 7,217.15
  4. Step 4: Simplify right side
    10,565.09x = 105,240,373.41
  5. Step 5: Solve for x
    x = 105,240,373.41/10,565.09
  6. Step 6: Final answer
    x = 9,961.15

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