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Finding the Fourth Proportional to 6,714.02, 10,062.50 and 3,793.96

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Solution

The fourth proportional to 6,714.02, 10,062.50 and 3,793.96 is: 5,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.02 : 10,062.50 = 3,793.96 : x
  2. Step 2: Convert to fraction form
    6,714.02/10,062.50 = 3,793.96/x
  3. Step 3: Cross multiply
    6,714.02x = 10,062.50 × 3,793.96
  4. Step 4: Simplify right side
    6,714.02x = 38,176,722.50
  5. Step 5: Solve for x
    x = 38,176,722.50/6,714.02
  6. Step 6: Final answer
    x = 5,686.12

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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.