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Finding the Fourth Proportional to 8,224.40, 12,337.42 and 3,029.06

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Solution

The fourth proportional to 8,224.40, 12,337.42 and 3,029.06 is: 4,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.40 : 12,337.42 = 3,029.06 : x
  2. Step 2: Convert to fraction form
    8,224.40/12,337.42 = 3,029.06/x
  3. Step 3: Cross multiply
    8,224.40x = 12,337.42 × 3,029.06
  4. Step 4: Simplify right side
    8,224.40x = 37,370,785.43
  5. Step 5: Solve for x
    x = 37,370,785.43/8,224.40
  6. Step 6: Final answer
    x = 4,543.89

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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.