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Finding the Fourth Proportional to 8,282.40, 12,423.60 and 2,126.40

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Solution

The fourth proportional to 8,282.40, 12,423.60 and 2,126.40 is: 3,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.40 : 12,423.60 = 2,126.40 : x
  2. Step 2: Convert to fraction form
    8,282.40/12,423.60 = 2,126.40/x
  3. Step 3: Cross multiply
    8,282.40x = 12,423.60 × 2,126.40
  4. Step 4: Simplify right side
    8,282.40x = 26,417,543.04
  5. Step 5: Solve for x
    x = 26,417,543.04/8,282.40
  6. Step 6: Final answer
    x = 3,189.60

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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.