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Finding the Fourth Proportional to 6,780.78, 10,148.49 and 5,128.18

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Solution

The fourth proportional to 6,780.78, 10,148.49 and 5,128.18 is: 7,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.78 : 10,148.49 = 5,128.18 : x
  2. Step 2: Convert to fraction form
    6,780.78/10,148.49 = 5,128.18/x
  3. Step 3: Cross multiply
    6,780.78x = 10,148.49 × 5,128.18
  4. Step 4: Simplify right side
    6,780.78x = 52,043,258.08
  5. Step 5: Solve for x
    x = 52,043,258.08/6,780.78
  6. Step 6: Final answer
    x = 7,675.11

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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.