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Finding the Fourth Proportional to 11,822, 17,733 and 4,030.88

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Solution

The fourth proportional to 11,822, 17,733 and 4,030.88 is: 6,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822 : 17,733 = 4,030.88 : x
  2. Step 2: Convert to fraction form
    11,822/17,733 = 4,030.88/x
  3. Step 3: Cross multiply
    11,822x = 17,733 × 4,030.88
  4. Step 4: Simplify right side
    11,822x = 71,479,595.04
  5. Step 5: Solve for x
    x = 71,479,595.04/11,822
  6. Step 6: Final answer
    x = 6,046.32

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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.