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Finding the Fourth Proportional to 10,096.88, 15,150.24 and 3,520.16

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Solution

The fourth proportional to 10,096.88, 15,150.24 and 3,520.16 is: 5,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.88 : 15,150.24 = 3,520.16 : x
  2. Step 2: Convert to fraction form
    10,096.88/15,150.24 = 3,520.16/x
  3. Step 3: Cross multiply
    10,096.88x = 15,150.24 × 3,520.16
  4. Step 4: Simplify right side
    10,096.88x = 53,331,268.84
  5. Step 5: Solve for x
    x = 53,331,268.84/10,096.88
  6. Step 6: Final answer
    x = 5,281.96

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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.