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Finding the Fourth Proportional to 7,714.70, 11,572.05 and 1,871.31

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Solution

The fourth proportional to 7,714.70, 11,572.05 and 1,871.31 is: 2,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.70 : 11,572.05 = 1,871.31 : x
  2. Step 2: Convert to fraction form
    7,714.70/11,572.05 = 1,871.31/x
  3. Step 3: Cross multiply
    7,714.70x = 11,572.05 × 1,871.31
  4. Step 4: Simplify right side
    7,714.70x = 21,654,892.89
  5. Step 5: Solve for x
    x = 21,654,892.89/7,714.70
  6. Step 6: Final answer
    x = 2,806.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.