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Finding the Fourth Proportional to 10,092.18, 15,119.22 and 5,164.94

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Solution

The fourth proportional to 10,092.18, 15,119.22 and 5,164.94 is: 7,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.18 : 15,119.22 = 5,164.94 : x
  2. Step 2: Convert to fraction form
    10,092.18/15,119.22 = 5,164.94/x
  3. Step 3: Cross multiply
    10,092.18x = 15,119.22 × 5,164.94
  4. Step 4: Simplify right side
    10,092.18x = 78,089,864.15
  5. Step 5: Solve for x
    x = 78,089,864.15/10,092.18
  6. Step 6: Final answer
    x = 7,737.66

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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.