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Finding the Fourth Proportional to 8,011.10, 12,006.32 and 3,842.43

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Solution

The fourth proportional to 8,011.10, 12,006.32 and 3,842.43 is: 5,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.10 : 12,006.32 = 3,842.43 : x
  2. Step 2: Convert to fraction form
    8,011.10/12,006.32 = 3,842.43/x
  3. Step 3: Cross multiply
    8,011.10x = 12,006.32 × 3,842.43
  4. Step 4: Simplify right side
    8,011.10x = 46,133,424.95
  5. Step 5: Solve for x
    x = 46,133,424.95/8,011.10
  6. Step 6: Final answer
    x = 5,758.69

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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.