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Finding the Fourth Proportional to 11,305.94, 16,966.44 and 4,647.90

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Solution

The fourth proportional to 11,305.94, 16,966.44 and 4,647.90 is: 6,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.94 : 16,966.44 = 4,647.90 : x
  2. Step 2: Convert to fraction form
    11,305.94/16,966.44 = 4,647.90/x
  3. Step 3: Cross multiply
    11,305.94x = 16,966.44 × 4,647.90
  4. Step 4: Simplify right side
    11,305.94x = 78,858,316.48
  5. Step 5: Solve for x
    x = 78,858,316.48/11,305.94
  6. Step 6: Final answer
    x = 6,974.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.