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Finding the Fourth Proportional to 11,242.76, 15,514.60 and 6,206.87

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Solution

The fourth proportional to 11,242.76, 15,514.60 and 6,206.87 is: 8,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.76 : 15,514.60 = 6,206.87 : x
  2. Step 2: Convert to fraction form
    11,242.76/15,514.60 = 6,206.87/x
  3. Step 3: Cross multiply
    11,242.76x = 15,514.60 × 6,206.87
  4. Step 4: Simplify right side
    11,242.76x = 96,297,089.78
  5. Step 5: Solve for x
    x = 96,297,089.78/11,242.76
  6. Step 6: Final answer
    x = 8,565.26

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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.