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Finding the Fourth Proportional to 8,284.62, 12,415.98 and 6,083.04

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Solution

The fourth proportional to 8,284.62, 12,415.98 and 6,083.04 is: 9,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.62 : 12,415.98 = 6,083.04 : x
  2. Step 2: Convert to fraction form
    8,284.62/12,415.98 = 6,083.04/x
  3. Step 3: Cross multiply
    8,284.62x = 12,415.98 × 6,083.04
  4. Step 4: Simplify right side
    8,284.62x = 75,526,902.98
  5. Step 5: Solve for x
    x = 75,526,902.98/8,284.62
  6. Step 6: Final answer
    x = 9,116.52

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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.