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Finding the Fourth Proportional to 12,155.52, 16,778.25 and 7,120.83

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Solution

The fourth proportional to 12,155.52, 16,778.25 and 7,120.83 is: 9,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.52 : 16,778.25 = 7,120.83 : x
  2. Step 2: Convert to fraction form
    12,155.52/16,778.25 = 7,120.83/x
  3. Step 3: Cross multiply
    12,155.52x = 16,778.25 × 7,120.83
  4. Step 4: Simplify right side
    12,155.52x = 119,475,065.95
  5. Step 5: Solve for x
    x = 119,475,065.95/12,155.52
  6. Step 6: Final answer
    x = 9,828.87

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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.