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Finding the Fourth Proportional to 11,242.24, 15,514.06 and 6,206.15

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Solution

The fourth proportional to 11,242.24, 15,514.06 and 6,206.15 is: 8,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.24 : 15,514.06 = 6,206.15 : x
  2. Step 2: Convert to fraction form
    11,242.24/15,514.06 = 6,206.15/x
  3. Step 3: Cross multiply
    11,242.24x = 15,514.06 × 6,206.15
  4. Step 4: Simplify right side
    11,242.24x = 96,282,583.47
  5. Step 5: Solve for x
    x = 96,282,583.47/11,242.24
  6. Step 6: Final answer
    x = 8,564.36

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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.