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Finding the Fourth Proportional to 11,077.49, 16,616.95 and 7,735.64

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Solution

The fourth proportional to 11,077.49, 16,616.95 and 7,735.64 is: 11,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.49 : 16,616.95 = 7,735.64 : x
  2. Step 2: Convert to fraction form
    11,077.49/16,616.95 = 7,735.64/x
  3. Step 3: Cross multiply
    11,077.49x = 16,616.95 × 7,735.64
  4. Step 4: Simplify right side
    11,077.49x = 128,542,640.67
  5. Step 5: Solve for x
    x = 128,542,640.67/11,077.49
  6. Step 6: Final answer
    x = 11,603.95

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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.