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Finding the Fourth Proportional to 11,601.66, 16,010.52 and 6,565.88

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Solution

The fourth proportional to 11,601.66, 16,010.52 and 6,565.88 is: 9,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.66 : 16,010.52 = 6,565.88 : x
  2. Step 2: Convert to fraction form
    11,601.66/16,010.52 = 6,565.88/x
  3. Step 3: Cross multiply
    11,601.66x = 16,010.52 × 6,565.88
  4. Step 4: Simplify right side
    11,601.66x = 105,123,097.63
  5. Step 5: Solve for x
    x = 105,123,097.63/11,601.66
  6. Step 6: Final answer
    x = 9,061.04

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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.