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Finding the Fourth Proportional to 8,464.30, 11,686.44 and 5,282.44

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Solution

The fourth proportional to 8,464.30, 11,686.44 and 5,282.44 is: 7,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.30 : 11,686.44 = 5,282.44 : x
  2. Step 2: Convert to fraction form
    8,464.30/11,686.44 = 5,282.44/x
  3. Step 3: Cross multiply
    8,464.30x = 11,686.44 × 5,282.44
  4. Step 4: Simplify right side
    8,464.30x = 61,732,919.29
  5. Step 5: Solve for x
    x = 61,732,919.29/8,464.30
  6. Step 6: Final answer
    x = 7,293.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.