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Finding the Fourth Proportional to 8,307.63, 12,463.37 and 3,691.95

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Solution

The fourth proportional to 8,307.63, 12,463.37 and 3,691.95 is: 5,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.63 : 12,463.37 = 3,691.95 : x
  2. Step 2: Convert to fraction form
    8,307.63/12,463.37 = 3,691.95/x
  3. Step 3: Cross multiply
    8,307.63x = 12,463.37 × 3,691.95
  4. Step 4: Simplify right side
    8,307.63x = 46,014,120.41
  5. Step 5: Solve for x
    x = 46,014,120.41/8,307.63
  6. Step 6: Final answer
    x = 5,538.78

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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.