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Finding the Fourth Proportional to 10,951.95, 16,418.45 and 9,296.89

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Solution

The fourth proportional to 10,951.95, 16,418.45 and 9,296.89 is: 13,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.95 : 16,418.45 = 9,296.89 : x
  2. Step 2: Convert to fraction form
    10,951.95/16,418.45 = 9,296.89/x
  3. Step 3: Cross multiply
    10,951.95x = 16,418.45 × 9,296.89
  4. Step 4: Simplify right side
    10,951.95x = 152,640,584.82
  5. Step 5: Solve for x
    x = 152,640,584.82/10,951.95
  6. Step 6: Final answer
    x = 13,937.29

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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.