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Finding the Fourth Proportional to 7,534.28, 10,397.28 and 4,222.28

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Solution

The fourth proportional to 7,534.28, 10,397.28 and 4,222.28 is: 5,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.28 : 10,397.28 = 4,222.28 : x
  2. Step 2: Convert to fraction form
    7,534.28/10,397.28 = 4,222.28/x
  3. Step 3: Cross multiply
    7,534.28x = 10,397.28 × 4,222.28
  4. Step 4: Simplify right side
    7,534.28x = 43,900,227.40
  5. Step 5: Solve for x
    x = 43,900,227.40/7,534.28
  6. Step 6: Final answer
    x = 5,826.73

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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.