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Finding the Fourth Proportional to 10,144.65, 13,998.82 and 5,607.14

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Solution

The fourth proportional to 10,144.65, 13,998.82 and 5,607.14 is: 7,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.65 : 13,998.82 = 5,607.14 : x
  2. Step 2: Convert to fraction form
    10,144.65/13,998.82 = 5,607.14/x
  3. Step 3: Cross multiply
    10,144.65x = 13,998.82 × 5,607.14
  4. Step 4: Simplify right side
    10,144.65x = 78,493,343.57
  5. Step 5: Solve for x
    x = 78,493,343.57/10,144.65
  6. Step 6: Final answer
    x = 7,737.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.