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Finding the Fourth Proportional to 10,963.35, 16,408.17 and 9,118.17

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Solution

The fourth proportional to 10,963.35, 16,408.17 and 9,118.17 is: 13,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.35 : 16,408.17 = 9,118.17 : x
  2. Step 2: Convert to fraction form
    10,963.35/16,408.17 = 9,118.17/x
  3. Step 3: Cross multiply
    10,963.35x = 16,408.17 × 9,118.17
  4. Step 4: Simplify right side
    10,963.35x = 149,612,483.45
  5. Step 5: Solve for x
    x = 149,612,483.45/10,963.35
  6. Step 6: Final answer
    x = 13,646.60

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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.