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Finding the Fourth Proportional to 10,726.80, 16,077.24 and 6,553.68

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Solution

The fourth proportional to 10,726.80, 16,077.24 and 6,553.68 is: 9,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.80 : 16,077.24 = 6,553.68 : x
  2. Step 2: Convert to fraction form
    10,726.80/16,077.24 = 6,553.68/x
  3. Step 3: Cross multiply
    10,726.80x = 16,077.24 × 6,553.68
  4. Step 4: Simplify right side
    10,726.80x = 105,365,086.24
  5. Step 5: Solve for x
    x = 105,365,086.24/10,726.80
  6. Step 6: Final answer
    x = 9,822.60

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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.