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Finding the Fourth Proportional to 11,842.52, 17,763.78 and 6,000.80

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Solution

The fourth proportional to 11,842.52, 17,763.78 and 6,000.80 is: 9,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.52 : 17,763.78 = 6,000.80 : x
  2. Step 2: Convert to fraction form
    11,842.52/17,763.78 = 6,000.80/x
  3. Step 3: Cross multiply
    11,842.52x = 17,763.78 × 6,000.80
  4. Step 4: Simplify right side
    11,842.52x = 106,596,891.02
  5. Step 5: Solve for x
    x = 106,596,891.02/11,842.52
  6. Step 6: Final answer
    x = 9,001.20

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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.