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Finding the Fourth Proportional to 8,452.81, 12,681.29 and 2,906.24

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Solution

The fourth proportional to 8,452.81, 12,681.29 and 2,906.24 is: 4,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.81 : 12,681.29 = 2,906.24 : x
  2. Step 2: Convert to fraction form
    8,452.81/12,681.29 = 2,906.24/x
  3. Step 3: Cross multiply
    8,452.81x = 12,681.29 × 2,906.24
  4. Step 4: Simplify right side
    8,452.81x = 36,854,816.11
  5. Step 5: Solve for x
    x = 36,854,816.11/8,452.81
  6. Step 6: Final answer
    x = 4,360.07

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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.