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Finding the Fourth Proportional to 11,714.31, 16,159.64 and 7,937.73

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Solution

The fourth proportional to 11,714.31, 16,159.64 and 7,937.73 is: 10,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.31 : 16,159.64 = 7,937.73 : x
  2. Step 2: Convert to fraction form
    11,714.31/16,159.64 = 7,937.73/x
  3. Step 3: Cross multiply
    11,714.31x = 16,159.64 × 7,937.73
  4. Step 4: Simplify right side
    11,714.31x = 128,270,819.53
  5. Step 5: Solve for x
    x = 128,270,819.53/11,714.31
  6. Step 6: Final answer
    x = 10,949.93

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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.