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Finding the Fourth Proportional to 11,842.08, 17,766 and 4,051.20

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Solution

The fourth proportional to 11,842.08, 17,766 and 4,051.20 is: 6,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.08 : 17,766 = 4,051.20 : x
  2. Step 2: Convert to fraction form
    11,842.08/17,766 = 4,051.20/x
  3. Step 3: Cross multiply
    11,842.08x = 17,766 × 4,051.20
  4. Step 4: Simplify right side
    11,842.08x = 71,973,619.20
  5. Step 5: Solve for x
    x = 71,973,619.20/11,842.08
  6. Step 6: Final answer
    x = 6,077.79

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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.