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Finding the Fourth Proportional to 10,871.50, 15,002.68 and 5,903.50

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Solution

The fourth proportional to 10,871.50, 15,002.68 and 5,903.50 is: 8,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.50 : 15,002.68 = 5,903.50 : x
  2. Step 2: Convert to fraction form
    10,871.50/15,002.68 = 5,903.50/x
  3. Step 3: Cross multiply
    10,871.50x = 15,002.68 × 5,903.50
  4. Step 4: Simplify right side
    10,871.50x = 88,568,321.38
  5. Step 5: Solve for x
    x = 88,568,321.38/10,871.50
  6. Step 6: Final answer
    x = 8,146.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.