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Finding the Fourth Proportional to 8,086.08, 12,147.50 and 6,978.94

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Solution

The fourth proportional to 8,086.08, 12,147.50 and 6,978.94 is: 10,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.08 : 12,147.50 = 6,978.94 : x
  2. Step 2: Convert to fraction form
    8,086.08/12,147.50 = 6,978.94/x
  3. Step 3: Cross multiply
    8,086.08x = 12,147.50 × 6,978.94
  4. Step 4: Simplify right side
    8,086.08x = 84,776,673.65
  5. Step 5: Solve for x
    x = 84,776,673.65/8,086.08
  6. Step 6: Final answer
    x = 10,484.27

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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.