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Finding the Fourth Proportional to 10,072.68, 13,898.16 and 5,879.04

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Solution

The fourth proportional to 10,072.68, 13,898.16 and 5,879.04 is: 8,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.68 : 13,898.16 = 5,879.04 : x
  2. Step 2: Convert to fraction form
    10,072.68/13,898.16 = 5,879.04/x
  3. Step 3: Cross multiply
    10,072.68x = 13,898.16 × 5,879.04
  4. Step 4: Simplify right side
    10,072.68x = 81,707,838.57
  5. Step 5: Solve for x
    x = 81,707,838.57/10,072.68
  6. Step 6: Final answer
    x = 8,111.83

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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.