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Finding the Fourth Proportional to 11,274.38, 15,551.46 and 9,041.61

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Solution

The fourth proportional to 11,274.38, 15,551.46 and 9,041.61 is: 12,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.38 : 15,551.46 = 9,041.61 : x
  2. Step 2: Convert to fraction form
    11,274.38/15,551.46 = 9,041.61/x
  3. Step 3: Cross multiply
    11,274.38x = 15,551.46 × 9,041.61
  4. Step 4: Simplify right side
    11,274.38x = 140,610,236.25
  5. Step 5: Solve for x
    x = 140,610,236.25/11,274.38
  6. Step 6: Final answer
    x = 12,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.