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Finding the Fourth Proportional to 7,145.76, 10,718.22 and 2,215.24

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Solution

The fourth proportional to 7,145.76, 10,718.22 and 2,215.24 is: 3,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.76 : 10,718.22 = 2,215.24 : x
  2. Step 2: Convert to fraction form
    7,145.76/10,718.22 = 2,215.24/x
  3. Step 3: Cross multiply
    7,145.76x = 10,718.22 × 2,215.24
  4. Step 4: Simplify right side
    7,145.76x = 23,743,429.67
  5. Step 5: Solve for x
    x = 23,743,429.67/7,145.76
  6. Step 6: Final answer
    x = 3,322.73

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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.