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Finding the Fourth Proportional to 11,710.38, 16,154.91 and 6,739.50

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Solution

The fourth proportional to 11,710.38, 16,154.91 and 6,739.50 is: 9,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.38 : 16,154.91 = 6,739.50 : x
  2. Step 2: Convert to fraction form
    11,710.38/16,154.91 = 6,739.50/x
  3. Step 3: Cross multiply
    11,710.38x = 16,154.91 × 6,739.50
  4. Step 4: Simplify right side
    11,710.38x = 108,876,015.95
  5. Step 5: Solve for x
    x = 108,876,015.95/11,710.38
  6. Step 6: Final answer
    x = 9,297.39

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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.