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Finding the Fourth Proportional to 6,952.39, 10,430.22 and 2,021.88

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Solution

The fourth proportional to 6,952.39, 10,430.22 and 2,021.88 is: 3,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.39 : 10,430.22 = 2,021.88 : x
  2. Step 2: Convert to fraction form
    6,952.39/10,430.22 = 2,021.88/x
  3. Step 3: Cross multiply
    6,952.39x = 10,430.22 × 2,021.88
  4. Step 4: Simplify right side
    6,952.39x = 21,088,653.21
  5. Step 5: Solve for x
    x = 21,088,653.21/6,952.39
  6. Step 6: Final answer
    x = 3,033.30

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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.