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Finding the Fourth Proportional to 11,242.56, 15,514.56 and 6,206.96

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Solution

The fourth proportional to 11,242.56, 15,514.56 and 6,206.96 is: 8,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.56 : 15,514.56 = 6,206.96 : x
  2. Step 2: Convert to fraction form
    11,242.56/15,514.56 = 6,206.96/x
  3. Step 3: Cross multiply
    11,242.56x = 15,514.56 × 6,206.96
  4. Step 4: Simplify right side
    11,242.56x = 96,298,253.34
  5. Step 5: Solve for x
    x = 96,298,253.34/11,242.56
  6. Step 6: Final answer
    x = 8,565.51

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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.