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Finding the Fourth Proportional to 6,952.40, 10,429.61 and 2,021.39

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Solution

The fourth proportional to 6,952.40, 10,429.61 and 2,021.39 is: 3,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.40 : 10,429.61 = 2,021.39 : x
  2. Step 2: Convert to fraction form
    6,952.40/10,429.61 = 2,021.39/x
  3. Step 3: Cross multiply
    6,952.40x = 10,429.61 × 2,021.39
  4. Step 4: Simplify right side
    6,952.40x = 21,082,299.25
  5. Step 5: Solve for x
    x = 21,082,299.25/6,952.40
  6. Step 6: Final answer
    x = 3,032.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.