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Finding the Fourth Proportional to 11,584.54, 15,989.16 and 9,061.66

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Solution

The fourth proportional to 11,584.54, 15,989.16 and 9,061.66 is: 12,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.54 : 15,989.16 = 9,061.66 : x
  2. Step 2: Convert to fraction form
    11,584.54/15,989.16 = 9,061.66/x
  3. Step 3: Cross multiply
    11,584.54x = 15,989.16 × 9,061.66
  4. Step 4: Simplify right side
    11,584.54x = 144,888,331.61
  5. Step 5: Solve for x
    x = 144,888,331.61/11,584.54
  6. Step 6: Final answer
    x = 12,507.04

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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.