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Finding the Fourth Proportional to 8,464.02, 12,691.14 and 3,263.82

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Solution

The fourth proportional to 8,464.02, 12,691.14 and 3,263.82 is: 4,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.02 : 12,691.14 = 3,263.82 : x
  2. Step 2: Convert to fraction form
    8,464.02/12,691.14 = 3,263.82/x
  3. Step 3: Cross multiply
    8,464.02x = 12,691.14 × 3,263.82
  4. Step 4: Simplify right side
    8,464.02x = 41,421,596.55
  5. Step 5: Solve for x
    x = 41,421,596.55/8,464.02
  6. Step 6: Final answer
    x = 4,893.84

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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.