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Finding the Fourth Proportional to 11,347.77, 15,657.38 and 6,871.43

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Solution

The fourth proportional to 11,347.77, 15,657.38 and 6,871.43 is: 9,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.77 : 15,657.38 = 6,871.43 : x
  2. Step 2: Convert to fraction form
    11,347.77/15,657.38 = 6,871.43/x
  3. Step 3: Cross multiply
    11,347.77x = 15,657.38 × 6,871.43
  4. Step 4: Simplify right side
    11,347.77x = 107,588,601.88
  5. Step 5: Solve for x
    x = 107,588,601.88/11,347.77
  6. Step 6: Final answer
    x = 9,481.03

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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.