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Finding the Fourth Proportional to 11,695.68, 16,127.75 and 7,711.70

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Solution

The fourth proportional to 11,695.68, 16,127.75 and 7,711.70 is: 10,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.68 : 16,127.75 = 7,711.70 : x
  2. Step 2: Convert to fraction form
    11,695.68/16,127.75 = 7,711.70/x
  3. Step 3: Cross multiply
    11,695.68x = 16,127.75 × 7,711.70
  4. Step 4: Simplify right side
    11,695.68x = 124,372,250.48
  5. Step 5: Solve for x
    x = 124,372,250.48/11,695.68
  6. Step 6: Final answer
    x = 10,634.03

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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.