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Finding the Fourth Proportional to 10,217.32, 15,326.04 and 2,822.16

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Solution

The fourth proportional to 10,217.32, 15,326.04 and 2,822.16 is: 4,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.32 : 15,326.04 = 2,822.16 : x
  2. Step 2: Convert to fraction form
    10,217.32/15,326.04 = 2,822.16/x
  3. Step 3: Cross multiply
    10,217.32x = 15,326.04 × 2,822.16
  4. Step 4: Simplify right side
    10,217.32x = 43,252,537.05
  5. Step 5: Solve for x
    x = 43,252,537.05/10,217.32
  6. Step 6: Final answer
    x = 4,233.26

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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.