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Finding the Fourth Proportional to 8,724.24, 13,086.24 and 2,150.40

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Solution

The fourth proportional to 8,724.24, 13,086.24 and 2,150.40 is: 3,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.24 : 13,086.24 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    8,724.24/13,086.24 = 2,150.40/x
  3. Step 3: Cross multiply
    8,724.24x = 13,086.24 × 2,150.40
  4. Step 4: Simplify right side
    8,724.24x = 28,140,650.50
  5. Step 5: Solve for x
    x = 28,140,650.50/8,724.24
  6. Step 6: Final answer
    x = 3,225.57

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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.