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Finding the Fourth Proportional to 7,438.50, 10,267.56 and 5,348.70

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Solution

The fourth proportional to 7,438.50, 10,267.56 and 5,348.70 is: 7,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.50 : 10,267.56 = 5,348.70 : x
  2. Step 2: Convert to fraction form
    7,438.50/10,267.56 = 5,348.70/x
  3. Step 3: Cross multiply
    7,438.50x = 10,267.56 × 5,348.70
  4. Step 4: Simplify right side
    7,438.50x = 54,918,098.17
  5. Step 5: Solve for x
    x = 54,918,098.17/7,438.50
  6. Step 6: Final answer
    x = 7,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.