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Finding the Fourth Proportional to 8,514.08, 11,749.28 and 5,202.08

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Solution

The fourth proportional to 8,514.08, 11,749.28 and 5,202.08 is: 7,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.08 : 11,749.28 = 5,202.08 : x
  2. Step 2: Convert to fraction form
    8,514.08/11,749.28 = 5,202.08/x
  3. Step 3: Cross multiply
    8,514.08x = 11,749.28 × 5,202.08
  4. Step 4: Simplify right side
    8,514.08x = 61,120,694.50
  5. Step 5: Solve for x
    x = 61,120,694.50/8,514.08
  6. Step 6: Final answer
    x = 7,178.78

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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.