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Finding the Fourth Proportional to 8,022.78, 12,038.49 and 4,134.78

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Solution

The fourth proportional to 8,022.78, 12,038.49 and 4,134.78 is: 6,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.78 : 12,038.49 = 4,134.78 : x
  2. Step 2: Convert to fraction form
    8,022.78/12,038.49 = 4,134.78/x
  3. Step 3: Cross multiply
    8,022.78x = 12,038.49 × 4,134.78
  4. Step 4: Simplify right side
    8,022.78x = 49,776,507.68
  5. Step 5: Solve for x
    x = 49,776,507.68/8,022.78
  6. Step 6: Final answer
    x = 6,204.40

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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.