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Finding the Fourth Proportional to 10,568.24, 15,850.92 and 4,723.28

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Solution

The fourth proportional to 10,568.24, 15,850.92 and 4,723.28 is: 7,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.24 : 15,850.92 = 4,723.28 : x
  2. Step 2: Convert to fraction form
    10,568.24/15,850.92 = 4,723.28/x
  3. Step 3: Cross multiply
    10,568.24x = 15,850.92 × 4,723.28
  4. Step 4: Simplify right side
    10,568.24x = 74,868,333.42
  5. Step 5: Solve for x
    x = 74,868,333.42/10,568.24
  6. Step 6: Final answer
    x = 7,084.28

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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.