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Finding the Fourth Proportional to 7,220.70, 10,823.76 and 3,926.97

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Solution

The fourth proportional to 7,220.70, 10,823.76 and 3,926.97 is: 5,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.70 : 10,823.76 = 3,926.97 : x
  2. Step 2: Convert to fraction form
    7,220.70/10,823.76 = 3,926.97/x
  3. Step 3: Cross multiply
    7,220.70x = 10,823.76 × 3,926.97
  4. Step 4: Simplify right side
    7,220.70x = 42,504,580.81
  5. Step 5: Solve for x
    x = 42,504,580.81/7,220.70
  6. Step 6: Final answer
    x = 5,886.49

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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.