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Finding the Fourth Proportional to 10,074.33, 13,903.52 and 6,096.42

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Solution

The fourth proportional to 10,074.33, 13,903.52 and 6,096.42 is: 8,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.33 : 13,903.52 = 6,096.42 : x
  2. Step 2: Convert to fraction form
    10,074.33/13,903.52 = 6,096.42/x
  3. Step 3: Cross multiply
    10,074.33x = 13,903.52 × 6,096.42
  4. Step 4: Simplify right side
    10,074.33x = 84,761,666.92
  5. Step 5: Solve for x
    x = 84,761,666.92/10,074.33
  6. Step 6: Final answer
    x = 8,413.63

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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.