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Finding the Fourth Proportional to 10,960.65, 16,443.42 and 5,114.07

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Solution

The fourth proportional to 10,960.65, 16,443.42 and 5,114.07 is: 7,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.65 : 16,443.42 = 5,114.07 : x
  2. Step 2: Convert to fraction form
    10,960.65/16,443.42 = 5,114.07/x
  3. Step 3: Cross multiply
    10,960.65x = 16,443.42 × 5,114.07
  4. Step 4: Simplify right side
    10,960.65x = 84,092,858.30
  5. Step 5: Solve for x
    x = 84,092,858.30/10,960.65
  6. Step 6: Final answer
    x = 7,672.25

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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.