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Finding the Fourth Proportional to 8,188.10, 12,269.55 and 6,098.30

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Solution

The fourth proportional to 8,188.10, 12,269.55 and 6,098.30 is: 9,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.10 : 12,269.55 = 6,098.30 : x
  2. Step 2: Convert to fraction form
    8,188.10/12,269.55 = 6,098.30/x
  3. Step 3: Cross multiply
    8,188.10x = 12,269.55 × 6,098.30
  4. Step 4: Simplify right side
    8,188.10x = 74,823,396.77
  5. Step 5: Solve for x
    x = 74,823,396.77/8,188.10
  6. Step 6: Final answer
    x = 9,138.07

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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.