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Finding the Fourth Proportional to 8,902.24, 13,348.92 and 5,205.40

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Solution

The fourth proportional to 8,902.24, 13,348.92 and 5,205.40 is: 7,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.24 : 13,348.92 = 5,205.40 : x
  2. Step 2: Convert to fraction form
    8,902.24/13,348.92 = 5,205.40/x
  3. Step 3: Cross multiply
    8,902.24x = 13,348.92 × 5,205.40
  4. Step 4: Simplify right side
    8,902.24x = 69,486,468.17
  5. Step 5: Solve for x
    x = 69,486,468.17/8,902.24
  6. Step 6: Final answer
    x = 7,805.50

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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.