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Finding the Fourth Proportional to 11,551.38, 15,922.10 and 9,029.04

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Solution

The fourth proportional to 11,551.38, 15,922.10 and 9,029.04 is: 12,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.38 : 15,922.10 = 9,029.04 : x
  2. Step 2: Convert to fraction form
    11,551.38/15,922.10 = 9,029.04/x
  3. Step 3: Cross multiply
    11,551.38x = 15,922.10 × 9,029.04
  4. Step 4: Simplify right side
    11,551.38x = 143,761,277.78
  5. Step 5: Solve for x
    x = 143,761,277.78/11,551.38
  6. Step 6: Final answer
    x = 12,445.38

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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.