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Finding the Fourth Proportional to 11,406.80, 17,074.35 and 7,251.50

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Solution

The fourth proportional to 11,406.80, 17,074.35 and 7,251.50 is: 10,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.80 : 17,074.35 = 7,251.50 : x
  2. Step 2: Convert to fraction form
    11,406.80/17,074.35 = 7,251.50/x
  3. Step 3: Cross multiply
    11,406.80x = 17,074.35 × 7,251.50
  4. Step 4: Simplify right side
    11,406.80x = 123,814,691.71
  5. Step 5: Solve for x
    x = 123,814,691.71/11,406.80
  6. Step 6: Final answer
    x = 10,854.46

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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.