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Finding the Fourth Proportional to 11,787.39, 16,246.58 and 9,874.17

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Solution

The fourth proportional to 11,787.39, 16,246.58 and 9,874.17 is: 13,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.39 : 16,246.58 = 9,874.17 : x
  2. Step 2: Convert to fraction form
    11,787.39/16,246.58 = 9,874.17/x
  3. Step 3: Cross multiply
    11,787.39x = 16,246.58 × 9,874.17
  4. Step 4: Simplify right side
    11,787.39x = 160,421,443.47
  5. Step 5: Solve for x
    x = 160,421,443.47/11,787.39
  6. Step 6: Final answer
    x = 13,609.58

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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.