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Finding the Fourth Proportional to 11,523.80, 15,902.46 and 6,488.12

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Solution

The fourth proportional to 11,523.80, 15,902.46 and 6,488.12 is: 8,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.80 : 15,902.46 = 6,488.12 : x
  2. Step 2: Convert to fraction form
    11,523.80/15,902.46 = 6,488.12/x
  3. Step 3: Cross multiply
    11,523.80x = 15,902.46 × 6,488.12
  4. Step 4: Simplify right side
    11,523.80x = 103,177,068.78
  5. Step 5: Solve for x
    x = 103,177,068.78/11,523.80
  6. Step 6: Final answer
    x = 8,953.39

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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.