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Finding the Fourth Proportional to 10,256.64, 15,375.24 and 5,059.68

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Solution

The fourth proportional to 10,256.64, 15,375.24 and 5,059.68 is: 7,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.64 : 15,375.24 = 5,059.68 : x
  2. Step 2: Convert to fraction form
    10,256.64/15,375.24 = 5,059.68/x
  3. Step 3: Cross multiply
    10,256.64x = 15,375.24 × 5,059.68
  4. Step 4: Simplify right side
    10,256.64x = 77,793,794.32
  5. Step 5: Solve for x
    x = 77,793,794.32/10,256.64
  6. Step 6: Final answer
    x = 7,584.73

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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.