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Finding the Fourth Proportional to 6,438.78, 8,864.55 and 5,505.66

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Solution

The fourth proportional to 6,438.78, 8,864.55 and 5,505.66 is: 7,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.78 : 8,864.55 = 5,505.66 : x
  2. Step 2: Convert to fraction form
    6,438.78/8,864.55 = 5,505.66/x
  3. Step 3: Cross multiply
    6,438.78x = 8,864.55 × 5,505.66
  4. Step 4: Simplify right side
    6,438.78x = 48,805,198.35
  5. Step 5: Solve for x
    x = 48,805,198.35/6,438.78
  6. Step 6: Final answer
    x = 7,579.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.