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Finding the Fourth Proportional to 7,777.25, 11,658.98 and 3,032.31

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Solution

The fourth proportional to 7,777.25, 11,658.98 and 3,032.31 is: 4,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.25 : 11,658.98 = 3,032.31 : x
  2. Step 2: Convert to fraction form
    7,777.25/11,658.98 = 3,032.31/x
  3. Step 3: Cross multiply
    7,777.25x = 11,658.98 × 3,032.31
  4. Step 4: Simplify right side
    7,777.25x = 35,353,626.48
  5. Step 5: Solve for x
    x = 35,353,626.48/7,777.25
  6. Step 6: Final answer
    x = 4,545.78

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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.