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Finding the Fourth Proportional to 10,219.26, 14,101.81 and 5,742.17

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Solution

The fourth proportional to 10,219.26, 14,101.81 and 5,742.17 is: 7,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.26 : 14,101.81 = 5,742.17 : x
  2. Step 2: Convert to fraction form
    10,219.26/14,101.81 = 5,742.17/x
  3. Step 3: Cross multiply
    10,219.26x = 14,101.81 × 5,742.17
  4. Step 4: Simplify right side
    10,219.26x = 80,974,891.11
  5. Step 5: Solve for x
    x = 80,974,891.11/10,219.26
  6. Step 6: Final answer
    x = 7,923.75

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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.