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Finding the Fourth Proportional to 11,242.58, 15,514.53 and 6,206.49

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Solution

The fourth proportional to 11,242.58, 15,514.53 and 6,206.49 is: 8,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.58 : 15,514.53 = 6,206.49 : x
  2. Step 2: Convert to fraction form
    11,242.58/15,514.53 = 6,206.49/x
  3. Step 3: Cross multiply
    11,242.58x = 15,514.53 × 6,206.49
  4. Step 4: Simplify right side
    11,242.58x = 96,290,775.30
  5. Step 5: Solve for x
    x = 96,290,775.30/11,242.58
  6. Step 6: Final answer
    x = 8,564.83

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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.