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Finding the Fourth Proportional to 6,752.27, 10,123.67 and 3,238.08

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Solution

The fourth proportional to 6,752.27, 10,123.67 and 3,238.08 is: 4,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.27 : 10,123.67 = 3,238.08 : x
  2. Step 2: Convert to fraction form
    6,752.27/10,123.67 = 3,238.08/x
  3. Step 3: Cross multiply
    6,752.27x = 10,123.67 × 3,238.08
  4. Step 4: Simplify right side
    6,752.27x = 32,781,261.45
  5. Step 5: Solve for x
    x = 32,781,261.45/6,752.27
  6. Step 6: Final answer
    x = 4,854.85

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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.