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Finding the Fourth Proportional to 7,232.97, 10,838.29 and 4,883.77

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Solution

The fourth proportional to 7,232.97, 10,838.29 and 4,883.77 is: 7,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.97 : 10,838.29 = 4,883.77 : x
  2. Step 2: Convert to fraction form
    7,232.97/10,838.29 = 4,883.77/x
  3. Step 3: Cross multiply
    7,232.97x = 10,838.29 × 4,883.77
  4. Step 4: Simplify right side
    7,232.97x = 52,931,694.56
  5. Step 5: Solve for x
    x = 52,931,694.56/7,232.97
  6. Step 6: Final answer
    x = 7,318.11

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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.