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Finding the Fourth Proportional to 10,935.10, 16,390.22 and 9,616.28

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Solution

The fourth proportional to 10,935.10, 16,390.22 and 9,616.28 is: 14,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.10 : 16,390.22 = 9,616.28 : x
  2. Step 2: Convert to fraction form
    10,935.10/16,390.22 = 9,616.28/x
  3. Step 3: Cross multiply
    10,935.10x = 16,390.22 × 9,616.28
  4. Step 4: Simplify right side
    10,935.10x = 157,612,944.78
  5. Step 5: Solve for x
    x = 157,612,944.78/10,935.10
  6. Step 6: Final answer
    x = 14,413.49

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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.