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Finding the Fourth Proportional to 8,514.92, 11,751.78 and 5,158.12

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Solution

The fourth proportional to 8,514.92, 11,751.78 and 5,158.12 is: 7,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.92 : 11,751.78 = 5,158.12 : x
  2. Step 2: Convert to fraction form
    8,514.92/11,751.78 = 5,158.12/x
  3. Step 3: Cross multiply
    8,514.92x = 11,751.78 × 5,158.12
  4. Step 4: Simplify right side
    8,514.92x = 60,617,091.45
  5. Step 5: Solve for x
    x = 60,617,091.45/8,514.92
  6. Step 6: Final answer
    x = 7,118.93

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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.