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Finding the Fourth Proportional to 11,646.46, 16,086.56 and 8,454.66

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Solution

The fourth proportional to 11,646.46, 16,086.56 and 8,454.66 is: 11,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.46 : 16,086.56 = 8,454.66 : x
  2. Step 2: Convert to fraction form
    11,646.46/16,086.56 = 8,454.66/x
  3. Step 3: Cross multiply
    11,646.46x = 16,086.56 × 8,454.66
  4. Step 4: Simplify right side
    11,646.46x = 136,006,395.37
  5. Step 5: Solve for x
    x = 136,006,395.37/11,646.46
  6. Step 6: Final answer
    x = 11,677.92

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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.