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Finding the Fourth Proportional to 11,835.76, 17,753.64 and 4,044.64

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Solution

The fourth proportional to 11,835.76, 17,753.64 and 4,044.64 is: 6,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.76 : 17,753.64 = 4,044.64 : x
  2. Step 2: Convert to fraction form
    11,835.76/17,753.64 = 4,044.64/x
  3. Step 3: Cross multiply
    11,835.76x = 17,753.64 × 4,044.64
  4. Step 4: Simplify right side
    11,835.76x = 71,807,082.49
  5. Step 5: Solve for x
    x = 71,807,082.49/11,835.76
  6. Step 6: Final answer
    x = 6,066.96

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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.