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Finding the Fourth Proportional to 6,691.72, 10,030.06 and 3,178.85

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Solution

The fourth proportional to 6,691.72, 10,030.06 and 3,178.85 is: 4,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.72 : 10,030.06 = 3,178.85 : x
  2. Step 2: Convert to fraction form
    6,691.72/10,030.06 = 3,178.85/x
  3. Step 3: Cross multiply
    6,691.72x = 10,030.06 × 3,178.85
  4. Step 4: Simplify right side
    6,691.72x = 31,884,056.23
  5. Step 5: Solve for x
    x = 31,884,056.23/6,691.72
  6. Step 6: Final answer
    x = 4,764.70

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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.