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Finding the Fourth Proportional to 11,715.84, 16,170.36 and 7,737.48

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Solution

The fourth proportional to 11,715.84, 16,170.36 and 7,737.48 is: 10,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.84 : 16,170.36 = 7,737.48 : x
  2. Step 2: Convert to fraction form
    11,715.84/16,170.36 = 7,737.48/x
  3. Step 3: Cross multiply
    11,715.84x = 16,170.36 × 7,737.48
  4. Step 4: Simplify right side
    11,715.84x = 125,117,837.09
  5. Step 5: Solve for x
    x = 125,117,837.09/11,715.84
  6. Step 6: Final answer
    x = 10,679.37

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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.