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Finding the Fourth Proportional to 7,407.28, 10,222.05 and 4,220.43

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Solution

The fourth proportional to 7,407.28, 10,222.05 and 4,220.43 is: 5,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.28 : 10,222.05 = 4,220.43 : x
  2. Step 2: Convert to fraction form
    7,407.28/10,222.05 = 4,220.43/x
  3. Step 3: Cross multiply
    7,407.28x = 10,222.05 × 4,220.43
  4. Step 4: Simplify right side
    7,407.28x = 43,141,446.48
  5. Step 5: Solve for x
    x = 43,141,446.48/7,407.28
  6. Step 6: Final answer
    x = 5,824.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.