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Finding the Fourth Proportional to 10,140.68, 15,211.80 and 3,568.34

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Solution

The fourth proportional to 10,140.68, 15,211.80 and 3,568.34 is: 5,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.68 : 15,211.80 = 3,568.34 : x
  2. Step 2: Convert to fraction form
    10,140.68/15,211.80 = 3,568.34/x
  3. Step 3: Cross multiply
    10,140.68x = 15,211.80 × 3,568.34
  4. Step 4: Simplify right side
    10,140.68x = 54,280,874.41
  5. Step 5: Solve for x
    x = 54,280,874.41/10,140.68
  6. Step 6: Final answer
    x = 5,352.78

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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.