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Finding the Fourth Proportional to 7,714.08, 10,645.46 and 4,177.30

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Solution

The fourth proportional to 7,714.08, 10,645.46 and 4,177.30 is: 5,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.08 : 10,645.46 = 4,177.30 : x
  2. Step 2: Convert to fraction form
    7,714.08/10,645.46 = 4,177.30/x
  3. Step 3: Cross multiply
    7,714.08x = 10,645.46 × 4,177.30
  4. Step 4: Simplify right side
    7,714.08x = 44,469,290.50
  5. Step 5: Solve for x
    x = 44,469,290.50/7,714.08
  6. Step 6: Final answer
    x = 5,764.70

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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.