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Finding the Fourth Proportional to 10,906.44, 15,050.10 and 6,714.76

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Solution

The fourth proportional to 10,906.44, 15,050.10 and 6,714.76 is: 9,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.44 : 15,050.10 = 6,714.76 : x
  2. Step 2: Convert to fraction form
    10,906.44/15,050.10 = 6,714.76/x
  3. Step 3: Cross multiply
    10,906.44x = 15,050.10 × 6,714.76
  4. Step 4: Simplify right side
    10,906.44x = 101,057,809.48
  5. Step 5: Solve for x
    x = 101,057,809.48/10,906.44
  6. Step 6: Final answer
    x = 9,265.88

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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.