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Finding the Fourth Proportional to 11,711.40, 16,163.22 and 7,681.62

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Solution

The fourth proportional to 11,711.40, 16,163.22 and 7,681.62 is: 10,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.40 : 16,163.22 = 7,681.62 : x
  2. Step 2: Convert to fraction form
    11,711.40/16,163.22 = 7,681.62/x
  3. Step 3: Cross multiply
    11,711.40x = 16,163.22 × 7,681.62
  4. Step 4: Simplify right side
    11,711.40x = 124,159,714.02
  5. Step 5: Solve for x
    x = 124,159,714.02/11,711.40
  6. Step 6: Final answer
    x = 10,601.61

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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.