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Finding the Fourth Proportional to 11,842.76, 17,764.28 and 3,077.16

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Solution

The fourth proportional to 11,842.76, 17,764.28 and 3,077.16 is: 4,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.76 : 17,764.28 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    11,842.76/17,764.28 = 3,077.16/x
  3. Step 3: Cross multiply
    11,842.76x = 17,764.28 × 3,077.16
  4. Step 4: Simplify right side
    11,842.76x = 54,663,531.84
  5. Step 5: Solve for x
    x = 54,663,531.84/11,842.76
  6. Step 6: Final answer
    x = 4,615.78

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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.