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Finding the Fourth Proportional to 10,562.87, 15,841.74 and 5,301.08

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Solution

The fourth proportional to 10,562.87, 15,841.74 and 5,301.08 is: 7,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.87 : 15,841.74 = 5,301.08 : x
  2. Step 2: Convert to fraction form
    10,562.87/15,841.74 = 5,301.08/x
  3. Step 3: Cross multiply
    10,562.87x = 15,841.74 × 5,301.08
  4. Step 4: Simplify right side
    10,562.87x = 83,978,375.62
  5. Step 5: Solve for x
    x = 83,978,375.62/10,562.87
  6. Step 6: Final answer
    x = 7,950.34

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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.