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Finding the Fourth Proportional to 7,229.64, 10,846.40 and 3,069.82

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Solution

The fourth proportional to 7,229.64, 10,846.40 and 3,069.82 is: 4,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.64 : 10,846.40 = 3,069.82 : x
  2. Step 2: Convert to fraction form
    7,229.64/10,846.40 = 3,069.82/x
  3. Step 3: Cross multiply
    7,229.64x = 10,846.40 × 3,069.82
  4. Step 4: Simplify right side
    7,229.64x = 33,296,495.65
  5. Step 5: Solve for x
    x = 33,296,495.65/7,229.64
  6. Step 6: Final answer
    x = 4,605.55

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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.