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Finding the Fourth Proportional to 10,572.50, 15,833.64 and 6,863.24

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Solution

The fourth proportional to 10,572.50, 15,833.64 and 6,863.24 is: 10,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.50 : 15,833.64 = 6,863.24 : x
  2. Step 2: Convert to fraction form
    10,572.50/15,833.64 = 6,863.24/x
  3. Step 3: Cross multiply
    10,572.50x = 15,833.64 × 6,863.24
  4. Step 4: Simplify right side
    10,572.50x = 108,670,071.39
  5. Step 5: Solve for x
    x = 108,670,071.39/10,572.50
  6. Step 6: Final answer
    x = 10,278.56

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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.