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Finding the Fourth Proportional to 6,714.92, 10,027.14 and 5,484.76

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Solution

The fourth proportional to 6,714.92, 10,027.14 and 5,484.76 is: 8,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.92 : 10,027.14 = 5,484.76 : x
  2. Step 2: Convert to fraction form
    6,714.92/10,027.14 = 5,484.76/x
  3. Step 3: Cross multiply
    6,714.92x = 10,027.14 × 5,484.76
  4. Step 4: Simplify right side
    6,714.92x = 54,996,456.39
  5. Step 5: Solve for x
    x = 54,996,456.39/6,714.92
  6. Step 6: Final answer
    x = 8,190.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.