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Finding the Fourth Proportional to 11,499.71, 17,251.20 and 4,102.61

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Solution

The fourth proportional to 11,499.71, 17,251.20 and 4,102.61 is: 6,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.71 : 17,251.20 = 4,102.61 : x
  2. Step 2: Convert to fraction form
    11,499.71/17,251.20 = 4,102.61/x
  3. Step 3: Cross multiply
    11,499.71x = 17,251.20 × 4,102.61
  4. Step 4: Simplify right side
    11,499.71x = 70,774,859.38
  5. Step 5: Solve for x
    x = 70,774,859.38/11,499.71
  6. Step 6: Final answer
    x = 6,154.49

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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.