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Finding the Fourth Proportional to 8,314.40, 12,474.08 and 2,471.20

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Solution

The fourth proportional to 8,314.40, 12,474.08 and 2,471.20 is: 3,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.40 : 12,474.08 = 2,471.20 : x
  2. Step 2: Convert to fraction form
    8,314.40/12,474.08 = 2,471.20/x
  3. Step 3: Cross multiply
    8,314.40x = 12,474.08 × 2,471.20
  4. Step 4: Simplify right side
    8,314.40x = 30,825,946.50
  5. Step 5: Solve for x
    x = 30,825,946.50/8,314.40
  6. Step 6: Final answer
    x = 3,707.54

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Why These Related Problems?

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