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Finding the Fourth Proportional to 8,043.38, 12,071.54 and 4,148.90

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Solution

The fourth proportional to 8,043.38, 12,071.54 and 4,148.90 is: 6,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.38 : 12,071.54 = 4,148.90 : x
  2. Step 2: Convert to fraction form
    8,043.38/12,071.54 = 4,148.90/x
  3. Step 3: Cross multiply
    8,043.38x = 12,071.54 × 4,148.90
  4. Step 4: Simplify right side
    8,043.38x = 50,083,562.32
  5. Step 5: Solve for x
    x = 50,083,562.32/8,043.38
  6. Step 6: Final answer
    x = 6,226.68

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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.