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Finding the Fourth Proportional to 7,264.56, 10,026 and 4,121.76

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Solution

The fourth proportional to 7,264.56, 10,026 and 4,121.76 is: 5,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.56 : 10,026 = 4,121.76 : x
  2. Step 2: Convert to fraction form
    7,264.56/10,026 = 4,121.76/x
  3. Step 3: Cross multiply
    7,264.56x = 10,026 × 4,121.76
  4. Step 4: Simplify right side
    7,264.56x = 41,324,765.76
  5. Step 5: Solve for x
    x = 41,324,765.76/7,264.56
  6. Step 6: Final answer
    x = 5,688.54

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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.