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Finding the Fourth Proportional to 7,005.36, 10,505.42 and 2,324.50

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Solution

The fourth proportional to 7,005.36, 10,505.42 and 2,324.50 is: 3,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.36 : 10,505.42 = 2,324.50 : x
  2. Step 2: Convert to fraction form
    7,005.36/10,505.42 = 2,324.50/x
  3. Step 3: Cross multiply
    7,005.36x = 10,505.42 × 2,324.50
  4. Step 4: Simplify right side
    7,005.36x = 24,419,826.16
  5. Step 5: Solve for x
    x = 24,419,826.16/7,005.36
  6. Step 6: Final answer
    x = 3,485.88

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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.