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Finding the Fourth Proportional to 11,706.98, 16,144.80 and 7,935.62

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Solution

The fourth proportional to 11,706.98, 16,144.80 and 7,935.62 is: 10,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.98 : 16,144.80 = 7,935.62 : x
  2. Step 2: Convert to fraction form
    11,706.98/16,144.80 = 7,935.62/x
  3. Step 3: Cross multiply
    11,706.98x = 16,144.80 × 7,935.62
  4. Step 4: Simplify right side
    11,706.98x = 128,118,887.29
  5. Step 5: Solve for x
    x = 128,118,887.29/11,706.98
  6. Step 6: Final answer
    x = 10,943.81

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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.