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Finding the Fourth Proportional to 10,109.66, 15,161.16 and 3,869.42

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Solution

The fourth proportional to 10,109.66, 15,161.16 and 3,869.42 is: 5,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.66 : 15,161.16 = 3,869.42 : x
  2. Step 2: Convert to fraction form
    10,109.66/15,161.16 = 3,869.42/x
  3. Step 3: Cross multiply
    10,109.66x = 15,161.16 × 3,869.42
  4. Step 4: Simplify right side
    10,109.66x = 58,664,895.73
  5. Step 5: Solve for x
    x = 58,664,895.73/10,109.66
  6. Step 6: Final answer
    x = 5,802.86

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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.