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Finding the Fourth Proportional to 10,761, 16,142.11 and 3,835.50

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Solution

The fourth proportional to 10,761, 16,142.11 and 3,835.50 is: 5,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761 : 16,142.11 = 3,835.50 : x
  2. Step 2: Convert to fraction form
    10,761/16,142.11 = 3,835.50/x
  3. Step 3: Cross multiply
    10,761x = 16,142.11 × 3,835.50
  4. Step 4: Simplify right side
    10,761x = 61,913,062.91
  5. Step 5: Solve for x
    x = 61,913,062.91/10,761
  6. Step 6: Final answer
    x = 5,753.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.