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Finding the Fourth Proportional to 11,741.46, 16,204.80 and 7,561.86

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Solution

The fourth proportional to 11,741.46, 16,204.80 and 7,561.86 is: 10,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.46 : 16,204.80 = 7,561.86 : x
  2. Step 2: Convert to fraction form
    11,741.46/16,204.80 = 7,561.86/x
  3. Step 3: Cross multiply
    11,741.46x = 16,204.80 × 7,561.86
  4. Step 4: Simplify right side
    11,741.46x = 122,538,428.93
  5. Step 5: Solve for x
    x = 122,538,428.93/11,741.46
  6. Step 6: Final answer
    x = 10,436.39

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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.