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Finding the Fourth Proportional to 11,645.76, 17,466.78 and 3,853.56

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Solution

The fourth proportional to 11,645.76, 17,466.78 and 3,853.56 is: 5,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.76 : 17,466.78 = 3,853.56 : x
  2. Step 2: Convert to fraction form
    11,645.76/17,466.78 = 3,853.56/x
  3. Step 3: Cross multiply
    11,645.76x = 17,466.78 × 3,853.56
  4. Step 4: Simplify right side
    11,645.76x = 67,309,284.74
  5. Step 5: Solve for x
    x = 67,309,284.74/11,645.76
  6. Step 6: Final answer
    x = 5,779.72

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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.