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Finding the Fourth Proportional to 27,934.40, 41,901.96 and 7,157.36

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Solution

The fourth proportional to 27,934.40, 41,901.96 and 7,157.36 is: 10,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.40 : 41,901.96 = 7,157.36 : x
  2. Step 2: Convert to fraction form
    27,934.40/41,901.96 = 7,157.36/x
  3. Step 3: Cross multiply
    27,934.40x = 41,901.96 × 7,157.36
  4. Step 4: Simplify right side
    27,934.40x = 299,907,412.43
  5. Step 5: Solve for x
    x = 299,907,412.43/27,934.40
  6. Step 6: Final answer
    x = 10,736.13

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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.