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Finding the Fourth Proportional to 7,005.67, 10,505.08 and 2,324.11

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Solution

The fourth proportional to 7,005.67, 10,505.08 and 2,324.11 is: 3,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.67 : 10,505.08 = 2,324.11 : x
  2. Step 2: Convert to fraction form
    7,005.67/10,505.08 = 2,324.11/x
  3. Step 3: Cross multiply
    7,005.67x = 10,505.08 × 2,324.11
  4. Step 4: Simplify right side
    7,005.67x = 24,414,961.48
  5. Step 5: Solve for x
    x = 24,414,961.48/7,005.67
  6. Step 6: Final answer
    x = 3,485.03

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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.