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Finding the Fourth Proportional to 8,194.59, 12,291.93 and 3,000.47

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Solution

The fourth proportional to 8,194.59, 12,291.93 and 3,000.47 is: 4,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.59 : 12,291.93 = 3,000.47 : x
  2. Step 2: Convert to fraction form
    8,194.59/12,291.93 = 3,000.47/x
  3. Step 3: Cross multiply
    8,194.59x = 12,291.93 × 3,000.47
  4. Step 4: Simplify right side
    8,194.59x = 36,881,540.59
  5. Step 5: Solve for x
    x = 36,881,540.59/8,194.59
  6. Step 6: Final answer
    x = 4,500.72

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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.