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Finding the Fourth Proportional to 11,396.24, 15,726.82 and 6,291.76

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Solution

The fourth proportional to 11,396.24, 15,726.82 and 6,291.76 is: 8,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.24 : 15,726.82 = 6,291.76 : x
  2. Step 2: Convert to fraction form
    11,396.24/15,726.82 = 6,291.76/x
  3. Step 3: Cross multiply
    11,396.24x = 15,726.82 × 6,291.76
  4. Step 4: Simplify right side
    11,396.24x = 98,949,321.96
  5. Step 5: Solve for x
    x = 98,949,321.96/11,396.24
  6. Step 6: Final answer
    x = 8,682.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.