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Finding the Fourth Proportional to 11,387.43, 15,714.74 and 6,351.98

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Solution

The fourth proportional to 11,387.43, 15,714.74 and 6,351.98 is: 8,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.43 : 15,714.74 = 6,351.98 : x
  2. Step 2: Convert to fraction form
    11,387.43/15,714.74 = 6,351.98/x
  3. Step 3: Cross multiply
    11,387.43x = 15,714.74 × 6,351.98
  4. Step 4: Simplify right side
    11,387.43x = 99,819,603.85
  5. Step 5: Solve for x
    x = 99,819,603.85/11,387.43
  6. Step 6: Final answer
    x = 8,765.77

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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.