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Finding the Fourth Proportional to 11,713.12, 16,160.84 and 6,995.68

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Solution

The fourth proportional to 11,713.12, 16,160.84 and 6,995.68 is: 9,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.12 : 16,160.84 = 6,995.68 : x
  2. Step 2: Convert to fraction form
    11,713.12/16,160.84 = 6,995.68/x
  3. Step 3: Cross multiply
    11,713.12x = 16,160.84 × 6,995.68
  4. Step 4: Simplify right side
    11,713.12x = 113,056,065.17
  5. Step 5: Solve for x
    x = 113,056,065.17/11,713.12
  6. Step 6: Final answer
    x = 9,652.09

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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.