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Finding the Fourth Proportional to 8,026.26, 12,034.92 and 2,478.03

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Solution

The fourth proportional to 8,026.26, 12,034.92 and 2,478.03 is: 3,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.26 : 12,034.92 = 2,478.03 : x
  2. Step 2: Convert to fraction form
    8,026.26/12,034.92 = 2,478.03/x
  3. Step 3: Cross multiply
    8,026.26x = 12,034.92 × 2,478.03
  4. Step 4: Simplify right side
    8,026.26x = 29,822,892.81
  5. Step 5: Solve for x
    x = 29,822,892.81/8,026.26
  6. Step 6: Final answer
    x = 3,715.66

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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.