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Finding the Fourth Proportional to 11,336.30, 16,990.02 and 6,408.70

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Solution

The fourth proportional to 11,336.30, 16,990.02 and 6,408.70 is: 9,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.30 : 16,990.02 = 6,408.70 : x
  2. Step 2: Convert to fraction form
    11,336.30/16,990.02 = 6,408.70/x
  3. Step 3: Cross multiply
    11,336.30x = 16,990.02 × 6,408.70
  4. Step 4: Simplify right side
    11,336.30x = 108,883,941.17
  5. Step 5: Solve for x
    x = 108,883,941.17/11,336.30
  6. Step 6: Final answer
    x = 9,604.89

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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.