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Finding the Fourth Proportional to 8,199.31, 12,282.19 and 4,026.23

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Solution

The fourth proportional to 8,199.31, 12,282.19 and 4,026.23 is: 6,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.31 : 12,282.19 = 4,026.23 : x
  2. Step 2: Convert to fraction form
    8,199.31/12,282.19 = 4,026.23/x
  3. Step 3: Cross multiply
    8,199.31x = 12,282.19 × 4,026.23
  4. Step 4: Simplify right side
    8,199.31x = 49,450,901.71
  5. Step 5: Solve for x
    x = 49,450,901.71/8,199.31
  6. Step 6: Final answer
    x = 6,031.11

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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.