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Finding the Fourth Proportional to 11,808.84, 17,720.04 and 5,965.92

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Solution

The fourth proportional to 11,808.84, 17,720.04 and 5,965.92 is: 8,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.84 : 17,720.04 = 5,965.92 : x
  2. Step 2: Convert to fraction form
    11,808.84/17,720.04 = 5,965.92/x
  3. Step 3: Cross multiply
    11,808.84x = 17,720.04 × 5,965.92
  4. Step 4: Simplify right side
    11,808.84x = 105,716,341.04
  5. Step 5: Solve for x
    x = 105,716,341.04/11,808.84
  6. Step 6: Final answer
    x = 8,952.31

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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.