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Finding the Fourth Proportional to 7,146.93, 10,716.44 and 2,215.23

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Solution

The fourth proportional to 7,146.93, 10,716.44 and 2,215.23 is: 3,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.93 : 10,716.44 = 2,215.23 : x
  2. Step 2: Convert to fraction form
    7,146.93/10,716.44 = 2,215.23/x
  3. Step 3: Cross multiply
    7,146.93x = 10,716.44 × 2,215.23
  4. Step 4: Simplify right side
    7,146.93x = 23,739,368.31
  5. Step 5: Solve for x
    x = 23,739,368.31/7,146.93
  6. Step 6: Final answer
    x = 3,321.62

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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.