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Finding the Fourth Proportional to 8,407.77, 11,596.82 and 5,261.73

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Solution

The fourth proportional to 8,407.77, 11,596.82 and 5,261.73 is: 7,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.77 : 11,596.82 = 5,261.73 : x
  2. Step 2: Convert to fraction form
    8,407.77/11,596.82 = 5,261.73/x
  3. Step 3: Cross multiply
    8,407.77x = 11,596.82 × 5,261.73
  4. Step 4: Simplify right side
    8,407.77x = 61,019,309.39
  5. Step 5: Solve for x
    x = 61,019,309.39/8,407.77
  6. Step 6: Final answer
    x = 7,257.49

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