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Finding the Fourth Proportional to 10,872.57, 16,322.63 and 9,046.02

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Solution

The fourth proportional to 10,872.57, 16,322.63 and 9,046.02 is: 13,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.57 : 16,322.63 = 9,046.02 : x
  2. Step 2: Convert to fraction form
    10,872.57/16,322.63 = 9,046.02/x
  3. Step 3: Cross multiply
    10,872.57x = 16,322.63 × 9,046.02
  4. Step 4: Simplify right side
    10,872.57x = 147,654,792.20
  5. Step 5: Solve for x
    x = 147,654,792.20/10,872.57
  6. Step 6: Final answer
    x = 13,580.49

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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.