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Finding the Fourth Proportional to 8,862.24, 13,293.12 and 2,288.40

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Solution

The fourth proportional to 8,862.24, 13,293.12 and 2,288.40 is: 3,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.24 : 13,293.12 = 2,288.40 : x
  2. Step 2: Convert to fraction form
    8,862.24/13,293.12 = 2,288.40/x
  3. Step 3: Cross multiply
    8,862.24x = 13,293.12 × 2,288.40
  4. Step 4: Simplify right side
    8,862.24x = 30,419,975.81
  5. Step 5: Solve for x
    x = 30,419,975.81/8,862.24
  6. Step 6: Final answer
    x = 3,432.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.