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Finding the Fourth Proportional to 10,549.68, 15,821.82 and 3,152.22

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Solution

The fourth proportional to 10,549.68, 15,821.82 and 3,152.22 is: 4,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.68 : 15,821.82 = 3,152.22 : x
  2. Step 2: Convert to fraction form
    10,549.68/15,821.82 = 3,152.22/x
  3. Step 3: Cross multiply
    10,549.68x = 15,821.82 × 3,152.22
  4. Step 4: Simplify right side
    10,549.68x = 49,873,857.44
  5. Step 5: Solve for x
    x = 49,873,857.44/10,549.68
  6. Step 6: Final answer
    x = 4,727.52

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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.