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Finding the Fourth Proportional to 8,699.96, 13,046.54 and 3,151.64

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Solution

The fourth proportional to 8,699.96, 13,046.54 and 3,151.64 is: 4,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.96 : 13,046.54 = 3,151.64 : x
  2. Step 2: Convert to fraction form
    8,699.96/13,046.54 = 3,151.64/x
  3. Step 3: Cross multiply
    8,699.96x = 13,046.54 × 3,151.64
  4. Step 4: Simplify right side
    8,699.96x = 41,117,997.33
  5. Step 5: Solve for x
    x = 41,117,997.33/8,699.96
  6. Step 6: Final answer
    x = 4,726.23

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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.