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Finding the Fourth Proportional to 11,132.65, 16,697.14 and 4,115.95

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Solution

The fourth proportional to 11,132.65, 16,697.14 and 4,115.95 is: 6,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.65 : 16,697.14 = 4,115.95 : x
  2. Step 2: Convert to fraction form
    11,132.65/16,697.14 = 4,115.95/x
  3. Step 3: Cross multiply
    11,132.65x = 16,697.14 × 4,115.95
  4. Step 4: Simplify right side
    11,132.65x = 68,724,593.38
  5. Step 5: Solve for x
    x = 68,724,593.38/11,132.65
  6. Step 6: Final answer
    x = 6,173.25

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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.