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Finding the Fourth Proportional to 7,301.58, 10,952.46 and 2,107.50

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Solution

The fourth proportional to 7,301.58, 10,952.46 and 2,107.50 is: 3,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.58 : 10,952.46 = 2,107.50 : x
  2. Step 2: Convert to fraction form
    7,301.58/10,952.46 = 2,107.50/x
  3. Step 3: Cross multiply
    7,301.58x = 10,952.46 × 2,107.50
  4. Step 4: Simplify right side
    7,301.58x = 23,082,309.45
  5. Step 5: Solve for x
    x = 23,082,309.45/7,301.58
  6. Step 6: Final answer
    x = 3,161.28

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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.