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Finding the Fourth Proportional to 10,968.68, 15,136.73 and 5,932.90

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Solution

The fourth proportional to 10,968.68, 15,136.73 and 5,932.90 is: 8,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.68 : 15,136.73 = 5,932.90 : x
  2. Step 2: Convert to fraction form
    10,968.68/15,136.73 = 5,932.90/x
  3. Step 3: Cross multiply
    10,968.68x = 15,136.73 × 5,932.90
  4. Step 4: Simplify right side
    10,968.68x = 89,804,705.42
  5. Step 5: Solve for x
    x = 89,804,705.42/10,968.68
  6. Step 6: Final answer
    x = 8,187.38

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Why These Related Problems?

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