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Finding the Fourth Proportional to 8,032.43, 12,048.74 and 2,834.66

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Solution

The fourth proportional to 8,032.43, 12,048.74 and 2,834.66 is: 4,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.43 : 12,048.74 = 2,834.66 : x
  2. Step 2: Convert to fraction form
    8,032.43/12,048.74 = 2,834.66/x
  3. Step 3: Cross multiply
    8,032.43x = 12,048.74 × 2,834.66
  4. Step 4: Simplify right side
    8,032.43x = 34,154,081.33
  5. Step 5: Solve for x
    x = 34,154,081.33/8,032.43
  6. Step 6: Final answer
    x = 4,252.02

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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.