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Finding the Fourth Proportional to 8,475.68, 11,670 and 6,978.80

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Solution

The fourth proportional to 8,475.68, 11,670 and 6,978.80 is: 9,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.68 : 11,670 = 6,978.80 : x
  2. Step 2: Convert to fraction form
    8,475.68/11,670 = 6,978.80/x
  3. Step 3: Cross multiply
    8,475.68x = 11,670 × 6,978.80
  4. Step 4: Simplify right side
    8,475.68x = 81,442,596
  5. Step 5: Solve for x
    x = 81,442,596/8,475.68
  6. Step 6: Final answer
    x = 9,608.97

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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.