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Finding the Fourth Proportional to 10,937.93, 16,387.46 and 6,257.75

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Solution

The fourth proportional to 10,937.93, 16,387.46 and 6,257.75 is: 9,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.93 : 16,387.46 = 6,257.75 : x
  2. Step 2: Convert to fraction form
    10,937.93/16,387.46 = 6,257.75/x
  3. Step 3: Cross multiply
    10,937.93x = 16,387.46 × 6,257.75
  4. Step 4: Simplify right side
    10,937.93x = 102,548,596.53
  5. Step 5: Solve for x
    x = 102,548,596.53/10,937.93
  6. Step 6: Final answer
    x = 9,375.50

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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.