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Finding the Fourth Proportional to 6,952.87, 10,430.32 and 2,021.87

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Solution

The fourth proportional to 6,952.87, 10,430.32 and 2,021.87 is: 3,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.87 : 10,430.32 = 2,021.87 : x
  2. Step 2: Convert to fraction form
    6,952.87/10,430.32 = 2,021.87/x
  3. Step 3: Cross multiply
    6,952.87x = 10,430.32 × 2,021.87
  4. Step 4: Simplify right side
    6,952.87x = 21,088,751.10
  5. Step 5: Solve for x
    x = 21,088,751.10/6,952.87
  6. Step 6: Final answer
    x = 3,033.10

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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.