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Finding the Fourth Proportional to 8,021.69, 12,037.54 and 3,862.14

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Solution

The fourth proportional to 8,021.69, 12,037.54 and 3,862.14 is: 5,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.69 : 12,037.54 = 3,862.14 : x
  2. Step 2: Convert to fraction form
    8,021.69/12,037.54 = 3,862.14/x
  3. Step 3: Cross multiply
    8,021.69x = 12,037.54 × 3,862.14
  4. Step 4: Simplify right side
    8,021.69x = 46,490,664.74
  5. Step 5: Solve for x
    x = 46,490,664.74/8,021.69
  6. Step 6: Final answer
    x = 5,795.62

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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.