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Finding the Fourth Proportional to 10,940.88, 16,406.10 and 5,935.38

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Solution

The fourth proportional to 10,940.88, 16,406.10 and 5,935.38 is: 8,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.88 : 16,406.10 = 5,935.38 : x
  2. Step 2: Convert to fraction form
    10,940.88/16,406.10 = 5,935.38/x
  3. Step 3: Cross multiply
    10,940.88x = 16,406.10 × 5,935.38
  4. Step 4: Simplify right side
    10,940.88x = 97,376,437.82
  5. Step 5: Solve for x
    x = 97,376,437.82/10,940.88
  6. Step 6: Final answer
    x = 8,900.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.