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Finding the Fourth Proportional to 10,650.59, 15,963.54 and 5,031.80

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Solution

The fourth proportional to 10,650.59, 15,963.54 and 5,031.80 is: 7,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.59 : 15,963.54 = 5,031.80 : x
  2. Step 2: Convert to fraction form
    10,650.59/15,963.54 = 5,031.80/x
  3. Step 3: Cross multiply
    10,650.59x = 15,963.54 × 5,031.80
  4. Step 4: Simplify right side
    10,650.59x = 80,325,340.57
  5. Step 5: Solve for x
    x = 80,325,340.57/10,650.59
  6. Step 6: Final answer
    x = 7,541.87

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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.