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Finding the Fourth Proportional to 6,123.57, 8,443.13 and 5,177.69

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Solution

The fourth proportional to 6,123.57, 8,443.13 and 5,177.69 is: 7,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.57 : 8,443.13 = 5,177.69 : x
  2. Step 2: Convert to fraction form
    6,123.57/8,443.13 = 5,177.69/x
  3. Step 3: Cross multiply
    6,123.57x = 8,443.13 × 5,177.69
  4. Step 4: Simplify right side
    6,123.57x = 43,715,909.77
  5. Step 5: Solve for x
    x = 43,715,909.77/6,123.57
  6. Step 6: Final answer
    x = 7,138.96

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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.