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Finding the Fourth Proportional to 8,103.38, 12,158.71 and 4,640.63

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Solution

The fourth proportional to 8,103.38, 12,158.71 and 4,640.63 is: 6,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.38 : 12,158.71 = 4,640.63 : x
  2. Step 2: Convert to fraction form
    8,103.38/12,158.71 = 4,640.63/x
  3. Step 3: Cross multiply
    8,103.38x = 12,158.71 × 4,640.63
  4. Step 4: Simplify right side
    8,103.38x = 56,424,001.99
  5. Step 5: Solve for x
    x = 56,424,001.99/8,103.38
  6. Step 6: Final answer
    x = 6,963.02

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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.