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Finding the Fourth Proportional to 10,546.47, 14,557.02 and 6,565.22

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Solution

The fourth proportional to 10,546.47, 14,557.02 and 6,565.22 is: 9,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.47 : 14,557.02 = 6,565.22 : x
  2. Step 2: Convert to fraction form
    10,546.47/14,557.02 = 6,565.22/x
  3. Step 3: Cross multiply
    10,546.47x = 14,557.02 × 6,565.22
  4. Step 4: Simplify right side
    10,546.47x = 95,569,996.03
  5. Step 5: Solve for x
    x = 95,569,996.03/10,546.47
  6. Step 6: Final answer
    x = 9,061.80

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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.