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Finding the Fourth Proportional to 10,714.52, 16,066.51 and 4,472.66

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Solution

The fourth proportional to 10,714.52, 16,066.51 and 4,472.66 is: 6,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.52 : 16,066.51 = 4,472.66 : x
  2. Step 2: Convert to fraction form
    10,714.52/16,066.51 = 4,472.66/x
  3. Step 3: Cross multiply
    10,714.52x = 16,066.51 × 4,472.66
  4. Step 4: Simplify right side
    10,714.52x = 71,860,036.62
  5. Step 5: Solve for x
    x = 71,860,036.62/10,714.52
  6. Step 6: Final answer
    x = 6,706.79

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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.