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Finding the Fourth Proportional to 7,227.52, 10,832.88 and 4,761.76

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Solution

The fourth proportional to 7,227.52, 10,832.88 and 4,761.76 is: 7,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.52 : 10,832.88 = 4,761.76 : x
  2. Step 2: Convert to fraction form
    7,227.52/10,832.88 = 4,761.76/x
  3. Step 3: Cross multiply
    7,227.52x = 10,832.88 × 4,761.76
  4. Step 4: Simplify right side
    7,227.52x = 51,583,574.67
  5. Step 5: Solve for x
    x = 51,583,574.67/7,227.52
  6. Step 6: Final answer
    x = 7,137.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.