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Finding the Fourth Proportional to 10,761.58, 16,142.76 and 2,971

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Solution

The fourth proportional to 10,761.58, 16,142.76 and 2,971 is: 4,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.58 : 16,142.76 = 2,971 : x
  2. Step 2: Convert to fraction form
    10,761.58/16,142.76 = 2,971/x
  3. Step 3: Cross multiply
    10,761.58x = 16,142.76 × 2,971
  4. Step 4: Simplify right side
    10,761.58x = 47,960,139.96
  5. Step 5: Solve for x
    x = 47,960,139.96/10,761.58
  6. Step 6: Final answer
    x = 4,456.61

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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.