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Finding the Fourth Proportional to 7,215.68, 10,822.08 and 2,020.16

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Solution

The fourth proportional to 7,215.68, 10,822.08 and 2,020.16 is: 3,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.68 : 10,822.08 = 2,020.16 : x
  2. Step 2: Convert to fraction form
    7,215.68/10,822.08 = 2,020.16/x
  3. Step 3: Cross multiply
    7,215.68x = 10,822.08 × 2,020.16
  4. Step 4: Simplify right side
    7,215.68x = 21,862,333.13
  5. Step 5: Solve for x
    x = 21,862,333.13/7,215.68
  6. Step 6: Final answer
    x = 3,029.84

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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.