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Finding the Fourth Proportional to 11,677.64, 16,112.13 and 6,958.58

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Solution

The fourth proportional to 11,677.64, 16,112.13 and 6,958.58 is: 9,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.64 : 16,112.13 = 6,958.58 : x
  2. Step 2: Convert to fraction form
    11,677.64/16,112.13 = 6,958.58/x
  3. Step 3: Cross multiply
    11,677.64x = 16,112.13 × 6,958.58
  4. Step 4: Simplify right side
    11,677.64x = 112,117,545.58
  5. Step 5: Solve for x
    x = 112,117,545.58/11,677.64
  6. Step 6: Final answer
    x = 9,601.04

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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.