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Finding the Fourth Proportional to 11,387.84, 15,714.56 and 6,351.68

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Solution

The fourth proportional to 11,387.84, 15,714.56 and 6,351.68 is: 8,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.84 : 15,714.56 = 6,351.68 : x
  2. Step 2: Convert to fraction form
    11,387.84/15,714.56 = 6,351.68/x
  3. Step 3: Cross multiply
    11,387.84x = 15,714.56 × 6,351.68
  4. Step 4: Simplify right side
    11,387.84x = 99,813,856.46
  5. Step 5: Solve for x
    x = 99,813,856.46/11,387.84
  6. Step 6: Final answer
    x = 8,764.95

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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.