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Finding the Fourth Proportional to 7,281.43, 10,937.70 and 5,214.71

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Solution

The fourth proportional to 7,281.43, 10,937.70 and 5,214.71 is: 7,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.43 : 10,937.70 = 5,214.71 : x
  2. Step 2: Convert to fraction form
    7,281.43/10,937.70 = 5,214.71/x
  3. Step 3: Cross multiply
    7,281.43x = 10,937.70 × 5,214.71
  4. Step 4: Simplify right side
    7,281.43x = 57,036,960.91
  5. Step 5: Solve for x
    x = 57,036,960.91/7,281.43
  6. Step 6: Final answer
    x = 7,833.21

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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.