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Finding the Fourth Proportional to 8,304.54, 11,471.45 and 7,714.05

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Solution

The fourth proportional to 8,304.54, 11,471.45 and 7,714.05 is: 10,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.54 : 11,471.45 = 7,714.05 : x
  2. Step 2: Convert to fraction form
    8,304.54/11,471.45 = 7,714.05/x
  3. Step 3: Cross multiply
    8,304.54x = 11,471.45 × 7,714.05
  4. Step 4: Simplify right side
    8,304.54x = 88,491,300.30
  5. Step 5: Solve for x
    x = 88,491,300.30/8,304.54
  6. Step 6: Final answer
    x = 10,655.77

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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.