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Finding the Fourth Proportional to 11,726.78, 16,182.57 and 6,421.28

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Solution

The fourth proportional to 11,726.78, 16,182.57 and 6,421.28 is: 8,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.78 : 16,182.57 = 6,421.28 : x
  2. Step 2: Convert to fraction form
    11,726.78/16,182.57 = 6,421.28/x
  3. Step 3: Cross multiply
    11,726.78x = 16,182.57 × 6,421.28
  4. Step 4: Simplify right side
    11,726.78x = 103,912,813.09
  5. Step 5: Solve for x
    x = 103,912,813.09/11,726.78
  6. Step 6: Final answer
    x = 8,861.15

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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.