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Finding the Fourth Proportional to 11,842.83, 17,747.28 and 8,698.14

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Solution

The fourth proportional to 11,842.83, 17,747.28 and 8,698.14 is: 13,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.83 : 17,747.28 = 8,698.14 : x
  2. Step 2: Convert to fraction form
    11,842.83/17,747.28 = 8,698.14/x
  3. Step 3: Cross multiply
    11,842.83x = 17,747.28 × 8,698.14
  4. Step 4: Simplify right side
    11,842.83x = 154,368,326.06
  5. Step 5: Solve for x
    x = 154,368,326.06/11,842.83
  6. Step 6: Final answer
    x = 13,034.75

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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.