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Finding the Fourth Proportional to 8,270.96, 12,404.57 and 2,428.02

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Solution

The fourth proportional to 8,270.96, 12,404.57 and 2,428.02 is: 3,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.96 : 12,404.57 = 2,428.02 : x
  2. Step 2: Convert to fraction form
    8,270.96/12,404.57 = 2,428.02/x
  3. Step 3: Cross multiply
    8,270.96x = 12,404.57 × 2,428.02
  4. Step 4: Simplify right side
    8,270.96x = 30,118,531.91
  5. Step 5: Solve for x
    x = 30,118,531.91/8,270.96
  6. Step 6: Final answer
    x = 3,641.48

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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.