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Finding the Fourth Proportional to 10,773.42, 16,160.16 and 2,982.06

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Solution

The fourth proportional to 10,773.42, 16,160.16 and 2,982.06 is: 4,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.42 : 16,160.16 = 2,982.06 : x
  2. Step 2: Convert to fraction form
    10,773.42/16,160.16 = 2,982.06/x
  3. Step 3: Cross multiply
    10,773.42x = 16,160.16 × 2,982.06
  4. Step 4: Simplify right side
    10,773.42x = 48,190,566.73
  5. Step 5: Solve for x
    x = 48,190,566.73/10,773.42
  6. Step 6: Final answer
    x = 4,473.10

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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.