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Finding the Fourth Proportional to 11,242.86, 16,864.26 and 5,001.42

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Solution

The fourth proportional to 11,242.86, 16,864.26 and 5,001.42 is: 7,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.86 : 16,864.26 = 5,001.42 : x
  2. Step 2: Convert to fraction form
    11,242.86/16,864.26 = 5,001.42/x
  3. Step 3: Cross multiply
    11,242.86x = 16,864.26 × 5,001.42
  4. Step 4: Simplify right side
    11,242.86x = 84,345,247.25
  5. Step 5: Solve for x
    x = 84,345,247.25/11,242.86
  6. Step 6: Final answer
    x = 7,502.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.