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Finding the Fourth Proportional to 10,537, 15,808.44 and 3,141.70

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Solution

The fourth proportional to 10,537, 15,808.44 and 3,141.70 is: 4,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 15,808.44 = 3,141.70 : x
  2. Step 2: Convert to fraction form
    10,537/15,808.44 = 3,141.70/x
  3. Step 3: Cross multiply
    10,537x = 15,808.44 × 3,141.70
  4. Step 4: Simplify right side
    10,537x = 49,665,375.95
  5. Step 5: Solve for x
    x = 49,665,375.95/10,537
  6. Step 6: Final answer
    x = 4,713.43

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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.