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Finding the Fourth Proportional to 6,877.78, 10,317.03 and 4,105.78

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Solution

The fourth proportional to 6,877.78, 10,317.03 and 4,105.78 is: 6,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.78 : 10,317.03 = 4,105.78 : x
  2. Step 2: Convert to fraction form
    6,877.78/10,317.03 = 4,105.78/x
  3. Step 3: Cross multiply
    6,877.78x = 10,317.03 × 4,105.78
  4. Step 4: Simplify right side
    6,877.78x = 42,359,455.43
  5. Step 5: Solve for x
    x = 42,359,455.43/6,877.78
  6. Step 6: Final answer
    x = 6,158.88

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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.