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Finding the Fourth Proportional to 7,145.78, 10,718.42 and 2,215.31

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Solution

The fourth proportional to 7,145.78, 10,718.42 and 2,215.31 is: 3,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.78 : 10,718.42 = 2,215.31 : x
  2. Step 2: Convert to fraction form
    7,145.78/10,718.42 = 2,215.31/x
  3. Step 3: Cross multiply
    7,145.78x = 10,718.42 × 2,215.31
  4. Step 4: Simplify right side
    7,145.78x = 23,744,558.34
  5. Step 5: Solve for x
    x = 23,744,558.34/7,145.78
  6. Step 6: Final answer
    x = 3,322.88

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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.