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Finding the Fourth Proportional to 8,198.85, 12,298.15 and 2,355.45

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Solution

The fourth proportional to 8,198.85, 12,298.15 and 2,355.45 is: 3,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.85 : 12,298.15 = 2,355.45 : x
  2. Step 2: Convert to fraction form
    8,198.85/12,298.15 = 2,355.45/x
  3. Step 3: Cross multiply
    8,198.85x = 12,298.15 × 2,355.45
  4. Step 4: Simplify right side
    8,198.85x = 28,967,677.42
  5. Step 5: Solve for x
    x = 28,967,677.42/8,198.85
  6. Step 6: Final answer
    x = 3,533.14

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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.