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Finding the Fourth Proportional to 11,847.92, 16,348.33 and 7,874.87

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Solution

The fourth proportional to 11,847.92, 16,348.33 and 7,874.87 is: 10,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.92 : 16,348.33 = 7,874.87 : x
  2. Step 2: Convert to fraction form
    11,847.92/16,348.33 = 7,874.87/x
  3. Step 3: Cross multiply
    11,847.92x = 16,348.33 × 7,874.87
  4. Step 4: Simplify right side
    11,847.92x = 128,740,973.47
  5. Step 5: Solve for x
    x = 128,740,973.47/11,847.92
  6. Step 6: Final answer
    x = 10,866.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.