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Finding the Fourth Proportional to 8,352.14, 12,517.27 and 3,416.00

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Solution

The fourth proportional to 8,352.14, 12,517.27 and 3,416.00 is: 5,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.14 : 12,517.27 = 3,416.00 : x
  2. Step 2: Convert to fraction form
    8,352.14/12,517.27 = 3,416.00/x
  3. Step 3: Cross multiply
    8,352.14x = 12,517.27 × 3,416.00
  4. Step 4: Simplify right side
    8,352.14x = 42,758,923.19
  5. Step 5: Solve for x
    x = 42,758,923.19/8,352.14
  6. Step 6: Final answer
    x = 5,119.52

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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.