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Finding the Fourth Proportional to 7,230.65, 10,836.17 and 3,276.97

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Solution

The fourth proportional to 7,230.65, 10,836.17 and 3,276.97 is: 4,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.65 : 10,836.17 = 3,276.97 : x
  2. Step 2: Convert to fraction form
    7,230.65/10,836.17 = 3,276.97/x
  3. Step 3: Cross multiply
    7,230.65x = 10,836.17 × 3,276.97
  4. Step 4: Simplify right side
    7,230.65x = 35,509,804.00
  5. Step 5: Solve for x
    x = 35,509,804.00/7,230.65
  6. Step 6: Final answer
    x = 4,911.01

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Why These Related Problems?

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