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Finding the Fourth Proportional to 8,350.84, 12,517.93 and 4,178.12

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Solution

The fourth proportional to 8,350.84, 12,517.93 and 4,178.12 is: 6,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.84 : 12,517.93 = 4,178.12 : x
  2. Step 2: Convert to fraction form
    8,350.84/12,517.93 = 4,178.12/x
  3. Step 3: Cross multiply
    8,350.84x = 12,517.93 × 4,178.12
  4. Step 4: Simplify right side
    8,350.84x = 52,301,434.54
  5. Step 5: Solve for x
    x = 52,301,434.54/8,350.84
  6. Step 6: Final answer
    x = 6,263.02

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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.