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Finding the Fourth Proportional to 6,115.10, 9,168.78 and 2,829.20

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Solution

The fourth proportional to 6,115.10, 9,168.78 and 2,829.20 is: 4,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.10 : 9,168.78 = 2,829.20 : x
  2. Step 2: Convert to fraction form
    6,115.10/9,168.78 = 2,829.20/x
  3. Step 3: Cross multiply
    6,115.10x = 9,168.78 × 2,829.20
  4. Step 4: Simplify right side
    6,115.10x = 25,940,312.38
  5. Step 5: Solve for x
    x = 25,940,312.38/6,115.10
  6. Step 6: Final answer
    x = 4,242.01

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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.