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Finding the Fourth Proportional to 11,957.01, 17,934.82 and 4,562.21

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Solution

The fourth proportional to 11,957.01, 17,934.82 and 4,562.21 is: 6,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.01 : 17,934.82 = 4,562.21 : x
  2. Step 2: Convert to fraction form
    11,957.01/17,934.82 = 4,562.21/x
  3. Step 3: Cross multiply
    11,957.01x = 17,934.82 × 4,562.21
  4. Step 4: Simplify right side
    11,957.01x = 81,822,448.58
  5. Step 5: Solve for x
    x = 81,822,448.58/11,957.01
  6. Step 6: Final answer
    x = 6,843.05

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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.