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Finding the Fourth Proportional to 10,398.62, 15,604.07 and 5,468.64

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Solution

The fourth proportional to 10,398.62, 15,604.07 and 5,468.64 is: 8,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.62 : 15,604.07 = 5,468.64 : x
  2. Step 2: Convert to fraction form
    10,398.62/15,604.07 = 5,468.64/x
  3. Step 3: Cross multiply
    10,398.62x = 15,604.07 × 5,468.64
  4. Step 4: Simplify right side
    10,398.62x = 85,332,936.00
  5. Step 5: Solve for x
    x = 85,332,936.00/10,398.62
  6. Step 6: Final answer
    x = 8,206.18

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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.