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Finding the Fourth Proportional to 7,773.92, 11,651.12 and 6,123.95

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Solution

The fourth proportional to 7,773.92, 11,651.12 and 6,123.95 is: 9,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.92 : 11,651.12 = 6,123.95 : x
  2. Step 2: Convert to fraction form
    7,773.92/11,651.12 = 6,123.95/x
  3. Step 3: Cross multiply
    7,773.92x = 11,651.12 × 6,123.95
  4. Step 4: Simplify right side
    7,773.92x = 71,350,876.32
  5. Step 5: Solve for x
    x = 71,350,876.32/7,773.92
  6. Step 6: Final answer
    x = 9,178.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.