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Finding the Fourth Proportional to 10,019.42, 15,028.11 and 3,446.06

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Solution

The fourth proportional to 10,019.42, 15,028.11 and 3,446.06 is: 5,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.42 : 15,028.11 = 3,446.06 : x
  2. Step 2: Convert to fraction form
    10,019.42/15,028.11 = 3,446.06/x
  3. Step 3: Cross multiply
    10,019.42x = 15,028.11 × 3,446.06
  4. Step 4: Simplify right side
    10,019.42x = 51,787,806.32
  5. Step 5: Solve for x
    x = 51,787,806.32/10,019.42
  6. Step 6: Final answer
    x = 5,168.75

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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.