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Finding the Fourth Proportional to 8,047.68, 12,066.24 and 3,886.56

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Solution

The fourth proportional to 8,047.68, 12,066.24 and 3,886.56 is: 5,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.68 : 12,066.24 = 3,886.56 : x
  2. Step 2: Convert to fraction form
    8,047.68/12,066.24 = 3,886.56/x
  3. Step 3: Cross multiply
    8,047.68x = 12,066.24 × 3,886.56
  4. Step 4: Simplify right side
    8,047.68x = 46,896,165.73
  5. Step 5: Solve for x
    x = 46,896,165.73/8,047.68
  6. Step 6: Final answer
    x = 5,827.29

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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.