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Finding the Fourth Proportional to 7,231.80, 10,848.30 and 2,301.30

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Solution

The fourth proportional to 7,231.80, 10,848.30 and 2,301.30 is: 3,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.80 : 10,848.30 = 2,301.30 : x
  2. Step 2: Convert to fraction form
    7,231.80/10,848.30 = 2,301.30/x
  3. Step 3: Cross multiply
    7,231.80x = 10,848.30 × 2,301.30
  4. Step 4: Simplify right side
    7,231.80x = 24,965,192.79
  5. Step 5: Solve for x
    x = 24,965,192.79/7,231.80
  6. Step 6: Final answer
    x = 3,452.14

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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.