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Finding the Fourth Proportional to 11,660.84, 17,489.10 and 3,339.08

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Solution

The fourth proportional to 11,660.84, 17,489.10 and 3,339.08 is: 5,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.84 : 17,489.10 = 3,339.08 : x
  2. Step 2: Convert to fraction form
    11,660.84/17,489.10 = 3,339.08/x
  3. Step 3: Cross multiply
    11,660.84x = 17,489.10 × 3,339.08
  4. Step 4: Simplify right side
    11,660.84x = 58,397,504.03
  5. Step 5: Solve for x
    x = 58,397,504.03/11,660.84
  6. Step 6: Final answer
    x = 5,008.00

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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.