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Finding the Fourth Proportional to 11,616.95, 17,426.10 and 3,296.32

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Solution

The fourth proportional to 11,616.95, 17,426.10 and 3,296.32 is: 4,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.95 : 17,426.10 = 3,296.32 : x
  2. Step 2: Convert to fraction form
    11,616.95/17,426.10 = 3,296.32/x
  3. Step 3: Cross multiply
    11,616.95x = 17,426.10 × 3,296.32
  4. Step 4: Simplify right side
    11,616.95x = 57,441,898.34
  5. Step 5: Solve for x
    x = 57,441,898.34/11,616.95
  6. Step 6: Final answer
    x = 4,944.66

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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.