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Finding the Fourth Proportional to 11,242.89, 16,864.32 and 3,034.89

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Solution

The fourth proportional to 11,242.89, 16,864.32 and 3,034.89 is: 4,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.89 : 16,864.32 = 3,034.89 : x
  2. Step 2: Convert to fraction form
    11,242.89/16,864.32 = 3,034.89/x
  3. Step 3: Cross multiply
    11,242.89x = 16,864.32 × 3,034.89
  4. Step 4: Simplify right side
    11,242.89x = 51,181,356.12
  5. Step 5: Solve for x
    x = 51,181,356.12/11,242.89
  6. Step 6: Final answer
    x = 4,552.33

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Why These Related Problems?

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