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Finding the Fourth Proportional to 8,098.03, 12,145.32 and 3,416.23

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Solution

The fourth proportional to 8,098.03, 12,145.32 and 3,416.23 is: 5,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.03 : 12,145.32 = 3,416.23 : x
  2. Step 2: Convert to fraction form
    8,098.03/12,145.32 = 3,416.23/x
  3. Step 3: Cross multiply
    8,098.03x = 12,145.32 × 3,416.23
  4. Step 4: Simplify right side
    8,098.03x = 41,491,176.18
  5. Step 5: Solve for x
    x = 41,491,176.18/8,098.03
  6. Step 6: Final answer
    x = 5,123.62

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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.