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Finding the Fourth Proportional to 8,189.48, 12,284.22 and 2,346.08

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Solution

The fourth proportional to 8,189.48, 12,284.22 and 2,346.08 is: 3,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.48 : 12,284.22 = 2,346.08 : x
  2. Step 2: Convert to fraction form
    8,189.48/12,284.22 = 2,346.08/x
  3. Step 3: Cross multiply
    8,189.48x = 12,284.22 × 2,346.08
  4. Step 4: Simplify right side
    8,189.48x = 28,819,701.44
  5. Step 5: Solve for x
    x = 28,819,701.44/8,189.48
  6. Step 6: Final answer
    x = 3,519.11

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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.