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Finding the Fourth Proportional to 11,337, 15,646.02 and 6,369.96

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Solution

The fourth proportional to 11,337, 15,646.02 and 6,369.96 is: 8,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337 : 15,646.02 = 6,369.96 : x
  2. Step 2: Convert to fraction form
    11,337/15,646.02 = 6,369.96/x
  3. Step 3: Cross multiply
    11,337x = 15,646.02 × 6,369.96
  4. Step 4: Simplify right side
    11,337x = 99,664,521.56
  5. Step 5: Solve for x
    x = 99,664,521.56/11,337
  6. Step 6: Final answer
    x = 8,791.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.