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Finding the Fourth Proportional to 11,569.92, 15,973.68 and 8,912.16

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Solution

The fourth proportional to 11,569.92, 15,973.68 and 8,912.16 is: 12,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.92 : 15,973.68 = 8,912.16 : x
  2. Step 2: Convert to fraction form
    11,569.92/15,973.68 = 8,912.16/x
  3. Step 3: Cross multiply
    11,569.92x = 15,973.68 × 8,912.16
  4. Step 4: Simplify right side
    11,569.92x = 142,359,991.95
  5. Step 5: Solve for x
    x = 142,359,991.95/11,569.92
  6. Step 6: Final answer
    x = 12,304.32

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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.