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Finding the Fourth Proportional to 7,902.66, 11,856.78 and 3,519.72

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Solution

The fourth proportional to 7,902.66, 11,856.78 and 3,519.72 is: 5,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.66 : 11,856.78 = 3,519.72 : x
  2. Step 2: Convert to fraction form
    7,902.66/11,856.78 = 3,519.72/x
  3. Step 3: Cross multiply
    7,902.66x = 11,856.78 × 3,519.72
  4. Step 4: Simplify right side
    7,902.66x = 41,732,545.70
  5. Step 5: Solve for x
    x = 41,732,545.70/7,902.66
  6. Step 6: Final answer
    x = 5,280.82

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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.