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Finding the Fourth Proportional to 12,164.89, 16,787.55 and 7,128.10

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Solution

The fourth proportional to 12,164.89, 16,787.55 and 7,128.10 is: 9,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.89 : 16,787.55 = 7,128.10 : x
  2. Step 2: Convert to fraction form
    12,164.89/16,787.55 = 7,128.10/x
  3. Step 3: Cross multiply
    12,164.89x = 16,787.55 × 7,128.10
  4. Step 4: Simplify right side
    12,164.89x = 119,663,335.16
  5. Step 5: Solve for x
    x = 119,663,335.16/12,164.89
  6. Step 6: Final answer
    x = 9,836.78

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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.