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Finding the Fourth Proportional to 10,083.42, 13,915.97 and 5,608.04

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Solution

The fourth proportional to 10,083.42, 13,915.97 and 5,608.04 is: 7,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.42 : 13,915.97 = 5,608.04 : x
  2. Step 2: Convert to fraction form
    10,083.42/13,915.97 = 5,608.04/x
  3. Step 3: Cross multiply
    10,083.42x = 13,915.97 × 5,608.04
  4. Step 4: Simplify right side
    10,083.42x = 78,041,239.81
  5. Step 5: Solve for x
    x = 78,041,239.81/10,083.42
  6. Step 6: Final answer
    x = 7,739.56

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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.