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Finding the Fourth Proportional to 8,256.43, 12,378.60 and 5,298.22

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Solution

The fourth proportional to 8,256.43, 12,378.60 and 5,298.22 is: 7,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.43 : 12,378.60 = 5,298.22 : x
  2. Step 2: Convert to fraction form
    8,256.43/12,378.60 = 5,298.22/x
  3. Step 3: Cross multiply
    8,256.43x = 12,378.60 × 5,298.22
  4. Step 4: Simplify right side
    8,256.43x = 65,584,546.09
  5. Step 5: Solve for x
    x = 65,584,546.09/8,256.43
  6. Step 6: Final answer
    x = 7,943.45

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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.