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Finding the Fourth Proportional to 11,842.66, 17,763.58 and 3,077.65

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Solution

The fourth proportional to 11,842.66, 17,763.58 and 3,077.65 is: 4,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.66 : 17,763.58 = 3,077.65 : x
  2. Step 2: Convert to fraction form
    11,842.66/17,763.58 = 3,077.65/x
  3. Step 3: Cross multiply
    11,842.66x = 17,763.58 × 3,077.65
  4. Step 4: Simplify right side
    11,842.66x = 54,670,081.99
  5. Step 5: Solve for x
    x = 54,670,081.99/11,842.66
  6. Step 6: Final answer
    x = 4,616.37

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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.