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Finding the Fourth Proportional to 10,726.56, 16,092.18 and 4,486.86

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Solution

The fourth proportional to 10,726.56, 16,092.18 and 4,486.86 is: 6,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.56 : 16,092.18 = 4,486.86 : x
  2. Step 2: Convert to fraction form
    10,726.56/16,092.18 = 4,486.86/x
  3. Step 3: Cross multiply
    10,726.56x = 16,092.18 × 4,486.86
  4. Step 4: Simplify right side
    10,726.56x = 72,203,358.75
  5. Step 5: Solve for x
    x = 72,203,358.75/10,726.56
  6. Step 6: Final answer
    x = 6,731.27

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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.