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Finding the Fourth Proportional to 10,141.32, 15,214.04 and 3,568.02

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Solution

The fourth proportional to 10,141.32, 15,214.04 and 3,568.02 is: 5,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.32 : 15,214.04 = 3,568.02 : x
  2. Step 2: Convert to fraction form
    10,141.32/15,214.04 = 3,568.02/x
  3. Step 3: Cross multiply
    10,141.32x = 15,214.04 × 3,568.02
  4. Step 4: Simplify right side
    10,141.32x = 54,283,981.16
  5. Step 5: Solve for x
    x = 54,283,981.16/10,141.32
  6. Step 6: Final answer
    x = 5,352.75

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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.