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Finding the Fourth Proportional to 10,498.92, 15,748.41 and 7,202.01

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Solution

The fourth proportional to 10,498.92, 15,748.41 and 7,202.01 is: 10,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.92 : 15,748.41 = 7,202.01 : x
  2. Step 2: Convert to fraction form
    10,498.92/15,748.41 = 7,202.01/x
  3. Step 3: Cross multiply
    10,498.92x = 15,748.41 × 7,202.01
  4. Step 4: Simplify right side
    10,498.92x = 113,420,251.86
  5. Step 5: Solve for x
    x = 113,420,251.86/10,498.92
  6. Step 6: Final answer
    x = 10,803.04

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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.