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Finding the Fourth Proportional to 7,085.87, 10,629.96 and 2,406.17

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Solution

The fourth proportional to 7,085.87, 10,629.96 and 2,406.17 is: 3,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.87 : 10,629.96 = 2,406.17 : x
  2. Step 2: Convert to fraction form
    7,085.87/10,629.96 = 2,406.17/x
  3. Step 3: Cross multiply
    7,085.87x = 10,629.96 × 2,406.17
  4. Step 4: Simplify right side
    7,085.87x = 25,577,490.85
  5. Step 5: Solve for x
    x = 25,577,490.85/7,085.87
  6. Step 6: Final answer
    x = 3,609.65

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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.