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Finding the Fourth Proportional to 11,856.71, 17,786.08 and 3,536.19

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Solution

The fourth proportional to 11,856.71, 17,786.08 and 3,536.19 is: 5,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.71 : 17,786.08 = 3,536.19 : x
  2. Step 2: Convert to fraction form
    11,856.71/17,786.08 = 3,536.19/x
  3. Step 3: Cross multiply
    11,856.71x = 17,786.08 × 3,536.19
  4. Step 4: Simplify right side
    11,856.71x = 62,894,962.66
  5. Step 5: Solve for x
    x = 62,894,962.66/11,856.71
  6. Step 6: Final answer
    x = 5,304.59

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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.