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Finding the Fourth Proportional to 7,387.50, 11,081.71 and 3,002.57

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Solution

The fourth proportional to 7,387.50, 11,081.71 and 3,002.57 is: 4,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.50 : 11,081.71 = 3,002.57 : x
  2. Step 2: Convert to fraction form
    7,387.50/11,081.71 = 3,002.57/x
  3. Step 3: Cross multiply
    7,387.50x = 11,081.71 × 3,002.57
  4. Step 4: Simplify right side
    7,387.50x = 33,273,599.90
  5. Step 5: Solve for x
    x = 33,273,599.90/7,387.50
  6. Step 6: Final answer
    x = 4,504.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.