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Finding the Fourth Proportional to 10,726.59, 16,093.11 and 5,178.90

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Solution

The fourth proportional to 10,726.59, 16,093.11 and 5,178.90 is: 7,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.59 : 16,093.11 = 5,178.90 : x
  2. Step 2: Convert to fraction form
    10,726.59/16,093.11 = 5,178.90/x
  3. Step 3: Cross multiply
    10,726.59x = 16,093.11 × 5,178.90
  4. Step 4: Simplify right side
    10,726.59x = 83,344,607.38
  5. Step 5: Solve for x
    x = 83,344,607.38/10,726.59
  6. Step 6: Final answer
    x = 7,769.91

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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.