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Finding the Fourth Proportional to 11,387.68, 15,714.37 and 6,352.31

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Solution

The fourth proportional to 11,387.68, 15,714.37 and 6,352.31 is: 8,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.68 : 15,714.37 = 6,352.31 : x
  2. Step 2: Convert to fraction form
    11,387.68/15,714.37 = 6,352.31/x
  3. Step 3: Cross multiply
    11,387.68x = 15,714.37 × 6,352.31
  4. Step 4: Simplify right side
    11,387.68x = 99,822,549.69
  5. Step 5: Solve for x
    x = 99,822,549.69/11,387.68
  6. Step 6: Final answer
    x = 8,765.84

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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.