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Finding the Fourth Proportional to 8,724.68, 12,040.38 and 5,191.46

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Solution

The fourth proportional to 8,724.68, 12,040.38 and 5,191.46 is: 7,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.68 : 12,040.38 = 5,191.46 : x
  2. Step 2: Convert to fraction form
    8,724.68/12,040.38 = 5,191.46/x
  3. Step 3: Cross multiply
    8,724.68x = 12,040.38 × 5,191.46
  4. Step 4: Simplify right side
    8,724.68x = 62,507,151.15
  5. Step 5: Solve for x
    x = 62,507,151.15/8,724.68
  6. Step 6: Final answer
    x = 7,164.41

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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.