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Finding the Fourth Proportional to 8,211.52, 12,317.04 and 3,016

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Solution

The fourth proportional to 8,211.52, 12,317.04 and 3,016 is: 4,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.52 : 12,317.04 = 3,016 : x
  2. Step 2: Convert to fraction form
    8,211.52/12,317.04 = 3,016/x
  3. Step 3: Cross multiply
    8,211.52x = 12,317.04 × 3,016
  4. Step 4: Simplify right side
    8,211.52x = 37,148,192.64
  5. Step 5: Solve for x
    x = 37,148,192.64/8,211.52
  6. Step 6: Final answer
    x = 4,523.91

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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.