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Finding the Fourth Proportional to 8,189.84, 12,284.76 and 6,538.66

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Solution

The fourth proportional to 8,189.84, 12,284.76 and 6,538.66 is: 9,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.84 : 12,284.76 = 6,538.66 : x
  2. Step 2: Convert to fraction form
    8,189.84/12,284.76 = 6,538.66/x
  3. Step 3: Cross multiply
    8,189.84x = 12,284.76 × 6,538.66
  4. Step 4: Simplify right side
    8,189.84x = 80,325,862.63
  5. Step 5: Solve for x
    x = 80,325,862.63/8,189.84
  6. Step 6: Final answer
    x = 9,807.99

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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.