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Finding the Fourth Proportional to 7,404, 11,063.56 and 5,639.20

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Solution

The fourth proportional to 7,404, 11,063.56 and 5,639.20 is: 8,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404 : 11,063.56 = 5,639.20 : x
  2. Step 2: Convert to fraction form
    7,404/11,063.56 = 5,639.20/x
  3. Step 3: Cross multiply
    7,404x = 11,063.56 × 5,639.20
  4. Step 4: Simplify right side
    7,404x = 62,389,627.55
  5. Step 5: Solve for x
    x = 62,389,627.55/7,404
  6. Step 6: Final answer
    x = 8,426.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.