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Finding the Fourth Proportional to 7,231.52, 10,838.88 and 4,765.76

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Solution

The fourth proportional to 7,231.52, 10,838.88 and 4,765.76 is: 7,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.52 : 10,838.88 = 4,765.76 : x
  2. Step 2: Convert to fraction form
    7,231.52/10,838.88 = 4,765.76/x
  3. Step 3: Cross multiply
    7,231.52x = 10,838.88 × 4,765.76
  4. Step 4: Simplify right side
    7,231.52x = 51,655,500.75
  5. Step 5: Solve for x
    x = 51,655,500.75/7,231.52
  6. Step 6: Final answer
    x = 7,143.10

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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.