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Finding the Fourth Proportional to 6,952.10, 10,428.69 and 2,021.82

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Solution

The fourth proportional to 6,952.10, 10,428.69 and 2,021.82 is: 3,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.10 : 10,428.69 = 2,021.82 : x
  2. Step 2: Convert to fraction form
    6,952.10/10,428.69 = 2,021.82/x
  3. Step 3: Cross multiply
    6,952.10x = 10,428.69 × 2,021.82
  4. Step 4: Simplify right side
    6,952.10x = 21,084,934.02
  5. Step 5: Solve for x
    x = 21,084,934.02/6,952.10
  6. Step 6: Final answer
    x = 3,032.89

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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.