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Finding the Fourth Proportional to 8,307.97, 12,462.02 and 2,464.58

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Solution

The fourth proportional to 8,307.97, 12,462.02 and 2,464.58 is: 3,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.97 : 12,462.02 = 2,464.58 : x
  2. Step 2: Convert to fraction form
    8,307.97/12,462.02 = 2,464.58/x
  3. Step 3: Cross multiply
    8,307.97x = 12,462.02 × 2,464.58
  4. Step 4: Simplify right side
    8,307.97x = 30,713,589.10
  5. Step 5: Solve for x
    x = 30,713,589.10/8,307.97
  6. Step 6: Final answer
    x = 3,696.88

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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.