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Finding the Fourth Proportional to 11,656.77, 16,086.28 and 6,351.58

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Solution

The fourth proportional to 11,656.77, 16,086.28 and 6,351.58 is: 8,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.77 : 16,086.28 = 6,351.58 : x
  2. Step 2: Convert to fraction form
    11,656.77/16,086.28 = 6,351.58/x
  3. Step 3: Cross multiply
    11,656.77x = 16,086.28 × 6,351.58
  4. Step 4: Simplify right side
    11,656.77x = 102,173,294.32
  5. Step 5: Solve for x
    x = 102,173,294.32/11,656.77
  6. Step 6: Final answer
    x = 8,765.15

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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.