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Finding the Fourth Proportional to 10,988, 16,467 and 5,061.44

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Solution

The fourth proportional to 10,988, 16,467 and 5,061.44 is: 7,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988 : 16,467 = 5,061.44 : x
  2. Step 2: Convert to fraction form
    10,988/16,467 = 5,061.44/x
  3. Step 3: Cross multiply
    10,988x = 16,467 × 5,061.44
  4. Step 4: Simplify right side
    10,988x = 83,346,732.48
  5. Step 5: Solve for x
    x = 83,346,732.48/10,988
  6. Step 6: Final answer
    x = 7,585.25

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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.