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Finding the Fourth Proportional to 8,098.45, 12,138.32 and 3,655.19

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Solution

The fourth proportional to 8,098.45, 12,138.32 and 3,655.19 is: 5,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.45 : 12,138.32 = 3,655.19 : x
  2. Step 2: Convert to fraction form
    8,098.45/12,138.32 = 3,655.19/x
  3. Step 3: Cross multiply
    8,098.45x = 12,138.32 × 3,655.19
  4. Step 4: Simplify right side
    8,098.45x = 44,367,905.36
  5. Step 5: Solve for x
    x = 44,367,905.36/8,098.45
  6. Step 6: Final answer
    x = 5,478.57

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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.