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Finding the Fourth Proportional to 8,188.14, 12,284.94 and 3,506.16

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Solution

The fourth proportional to 8,188.14, 12,284.94 and 3,506.16 is: 5,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.14 : 12,284.94 = 3,506.16 : x
  2. Step 2: Convert to fraction form
    8,188.14/12,284.94 = 3,506.16/x
  3. Step 3: Cross multiply
    8,188.14x = 12,284.94 × 3,506.16
  4. Step 4: Simplify right side
    8,188.14x = 43,072,965.23
  5. Step 5: Solve for x
    x = 43,072,965.23/8,188.14
  6. Step 6: Final answer
    x = 5,260.41

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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.