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Finding the Fourth Proportional to 8,765.66, 13,138.74 and 6,678.78

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Solution

The fourth proportional to 8,765.66, 13,138.74 and 6,678.78 is: 10,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.66 : 13,138.74 = 6,678.78 : x
  2. Step 2: Convert to fraction form
    8,765.66/13,138.74 = 6,678.78/x
  3. Step 3: Cross multiply
    8,765.66x = 13,138.74 × 6,678.78
  4. Step 4: Simplify right side
    8,765.66x = 87,750,753.94
  5. Step 5: Solve for x
    x = 87,750,753.94/8,765.66
  6. Step 6: Final answer
    x = 10,010.75

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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.