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Finding the Fourth Proportional to 8,447.75, 12,677.39 and 2,975.75

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Solution

The fourth proportional to 8,447.75, 12,677.39 and 2,975.75 is: 4,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.75 : 12,677.39 = 2,975.75 : x
  2. Step 2: Convert to fraction form
    8,447.75/12,677.39 = 2,975.75/x
  3. Step 3: Cross multiply
    8,447.75x = 12,677.39 × 2,975.75
  4. Step 4: Simplify right side
    8,447.75x = 37,724,728.41
  5. Step 5: Solve for x
    x = 37,724,728.41/8,447.75
  6. Step 6: Final answer
    x = 4,465.65

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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.