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Finding the Fourth Proportional to 7,187.64, 10,781.46 and 2,257.71

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Solution

The fourth proportional to 7,187.64, 10,781.46 and 2,257.71 is: 3,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.64 : 10,781.46 = 2,257.71 : x
  2. Step 2: Convert to fraction form
    7,187.64/10,781.46 = 2,257.71/x
  3. Step 3: Cross multiply
    7,187.64x = 10,781.46 × 2,257.71
  4. Step 4: Simplify right side
    7,187.64x = 24,341,410.06
  5. Step 5: Solve for x
    x = 24,341,410.06/7,187.64
  6. Step 6: Final answer
    x = 3,386.57

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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.