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Finding the Fourth Proportional to 11,242.55, 15,514.85 and 6,206.68

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Solution

The fourth proportional to 11,242.55, 15,514.85 and 6,206.68 is: 8,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.55 : 15,514.85 = 6,206.68 : x
  2. Step 2: Convert to fraction form
    11,242.55/15,514.85 = 6,206.68/x
  3. Step 3: Cross multiply
    11,242.55x = 15,514.85 × 6,206.68
  4. Step 4: Simplify right side
    11,242.55x = 96,295,709.20
  5. Step 5: Solve for x
    x = 96,295,709.20/11,242.55
  6. Step 6: Final answer
    x = 8,565.29

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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.