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Finding the Fourth Proportional to 11,522.97, 15,883.02 and 9,000.71

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Solution

The fourth proportional to 11,522.97, 15,883.02 and 9,000.71 is: 12,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.97 : 15,883.02 = 9,000.71 : x
  2. Step 2: Convert to fraction form
    11,522.97/15,883.02 = 9,000.71/x
  3. Step 3: Cross multiply
    11,522.97x = 15,883.02 × 9,000.71
  4. Step 4: Simplify right side
    11,522.97x = 142,958,377.53
  5. Step 5: Solve for x
    x = 142,958,377.53/11,522.97
  6. Step 6: Final answer
    x = 12,406.38

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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.