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Finding the Fourth Proportional to 8,232.39, 11,353.19 and 7,041.87

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Solution

The fourth proportional to 8,232.39, 11,353.19 and 7,041.87 is: 9,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.39 : 11,353.19 = 7,041.87 : x
  2. Step 2: Convert to fraction form
    8,232.39/11,353.19 = 7,041.87/x
  3. Step 3: Cross multiply
    8,232.39x = 11,353.19 × 7,041.87
  4. Step 4: Simplify right side
    8,232.39x = 79,947,652.86
  5. Step 5: Solve for x
    x = 79,947,652.86/8,232.39
  6. Step 6: Final answer
    x = 9,711.35

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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.