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Finding the Fourth Proportional to 10,622.62, 15,934.14 and 3,867.97

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Solution

The fourth proportional to 10,622.62, 15,934.14 and 3,867.97 is: 5,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.62 : 15,934.14 = 3,867.97 : x
  2. Step 2: Convert to fraction form
    10,622.62/15,934.14 = 3,867.97/x
  3. Step 3: Cross multiply
    10,622.62x = 15,934.14 × 3,867.97
  4. Step 4: Simplify right side
    10,622.62x = 61,632,775.50
  5. Step 5: Solve for x
    x = 61,632,775.50/10,622.62
  6. Step 6: Final answer
    x = 5,802.03

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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.