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Finding the Fourth Proportional to 8,188.35, 12,274.43 and 4,024.95

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Solution

The fourth proportional to 8,188.35, 12,274.43 and 4,024.95 is: 6,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.35 : 12,274.43 = 4,024.95 : x
  2. Step 2: Convert to fraction form
    8,188.35/12,274.43 = 4,024.95/x
  3. Step 3: Cross multiply
    8,188.35x = 12,274.43 × 4,024.95
  4. Step 4: Simplify right side
    8,188.35x = 49,403,946.90
  5. Step 5: Solve for x
    x = 49,403,946.90/8,188.35
  6. Step 6: Final answer
    x = 6,033.44

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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.