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Finding the Fourth Proportional to 10,600.81, 15,907.39 and 3,942

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Solution

The fourth proportional to 10,600.81, 15,907.39 and 3,942 is: 5,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.81 : 15,907.39 = 3,942 : x
  2. Step 2: Convert to fraction form
    10,600.81/15,907.39 = 3,942/x
  3. Step 3: Cross multiply
    10,600.81x = 15,907.39 × 3,942
  4. Step 4: Simplify right side
    10,600.81x = 62,706,921.53
  5. Step 5: Solve for x
    x = 62,706,921.53/10,600.81
  6. Step 6: Final answer
    x = 5,915.30

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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.