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Finding the Fourth Proportional to 11,206.64, 16,808.68 and 2,998

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Solution

The fourth proportional to 11,206.64, 16,808.68 and 2,998 is: 4,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.64 : 16,808.68 = 2,998 : x
  2. Step 2: Convert to fraction form
    11,206.64/16,808.68 = 2,998/x
  3. Step 3: Cross multiply
    11,206.64x = 16,808.68 × 2,998
  4. Step 4: Simplify right side
    11,206.64x = 50,392,422.64
  5. Step 5: Solve for x
    x = 50,392,422.64/11,206.64
  6. Step 6: Final answer
    x = 4,496.66

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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.