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Finding the Fourth Proportional to 8,029.30, 12,043.95 and 3,411.70

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Solution

The fourth proportional to 8,029.30, 12,043.95 and 3,411.70 is: 5,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.30 : 12,043.95 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    8,029.30/12,043.95 = 3,411.70/x
  3. Step 3: Cross multiply
    8,029.30x = 12,043.95 × 3,411.70
  4. Step 4: Simplify right side
    8,029.30x = 41,090,344.22
  5. Step 5: Solve for x
    x = 41,090,344.22/8,029.30
  6. Step 6: Final answer
    x = 5,117.55

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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.