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Finding the Fourth Proportional to 27,797.40, 41,696.28 and 7,020.90

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Solution

The fourth proportional to 27,797.40, 41,696.28 and 7,020.90 is: 10,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.40 : 41,696.28 = 7,020.90 : x
  2. Step 2: Convert to fraction form
    27,797.40/41,696.28 = 7,020.90/x
  3. Step 3: Cross multiply
    27,797.40x = 41,696.28 × 7,020.90
  4. Step 4: Simplify right side
    27,797.40x = 292,745,412.25
  5. Step 5: Solve for x
    x = 292,745,412.25/27,797.40
  6. Step 6: Final answer
    x = 10,531.40

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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.