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Finding the Fourth Proportional to 8,229.60, 12,344.64 and 3,034.32

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Solution

The fourth proportional to 8,229.60, 12,344.64 and 3,034.32 is: 4,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.60 : 12,344.64 = 3,034.32 : x
  2. Step 2: Convert to fraction form
    8,229.60/12,344.64 = 3,034.32/x
  3. Step 3: Cross multiply
    8,229.60x = 12,344.64 × 3,034.32
  4. Step 4: Simplify right side
    8,229.60x = 37,457,588.04
  5. Step 5: Solve for x
    x = 37,457,588.04/8,229.60
  6. Step 6: Final answer
    x = 4,551.57

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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.