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Finding the Fourth Proportional to 7,187.66, 10,781.49 and 3,280.46

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Solution

The fourth proportional to 7,187.66, 10,781.49 and 3,280.46 is: 4,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.66 : 10,781.49 = 3,280.46 : x
  2. Step 2: Convert to fraction form
    7,187.66/10,781.49 = 3,280.46/x
  3. Step 3: Cross multiply
    7,187.66x = 10,781.49 × 3,280.46
  4. Step 4: Simplify right side
    7,187.66x = 35,368,246.69
  5. Step 5: Solve for x
    x = 35,368,246.69/7,187.66
  6. Step 6: Final answer
    x = 4,920.69

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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.