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Finding the Fourth Proportional to 6,887.02, 10,305.02 and 4,115.20

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Solution

The fourth proportional to 6,887.02, 10,305.02 and 4,115.20 is: 6,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.02 : 10,305.02 = 4,115.20 : x
  2. Step 2: Convert to fraction form
    6,887.02/10,305.02 = 4,115.20/x
  3. Step 3: Cross multiply
    6,887.02x = 10,305.02 × 4,115.20
  4. Step 4: Simplify right side
    6,887.02x = 42,407,197.73
  5. Step 5: Solve for x
    x = 42,407,197.73/6,887.02
  6. Step 6: Final answer
    x = 6,157.55

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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.