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Finding the Fourth Proportional to 10,152.48, 15,229.29 and 3,827.28

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Solution

The fourth proportional to 10,152.48, 15,229.29 and 3,827.28 is: 5,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.48 : 15,229.29 = 3,827.28 : x
  2. Step 2: Convert to fraction form
    10,152.48/15,229.29 = 3,827.28/x
  3. Step 3: Cross multiply
    10,152.48x = 15,229.29 × 3,827.28
  4. Step 4: Simplify right side
    10,152.48x = 58,286,757.03
  5. Step 5: Solve for x
    x = 58,286,757.03/10,152.48
  6. Step 6: Final answer
    x = 5,741.13

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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.