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Finding the Fourth Proportional to 10,935.69, 16,401.78 and 3,914.40

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Solution

The fourth proportional to 10,935.69, 16,401.78 and 3,914.40 is: 5,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.69 : 16,401.78 = 3,914.40 : x
  2. Step 2: Convert to fraction form
    10,935.69/16,401.78 = 3,914.40/x
  3. Step 3: Cross multiply
    10,935.69x = 16,401.78 × 3,914.40
  4. Step 4: Simplify right side
    10,935.69x = 64,203,127.63
  5. Step 5: Solve for x
    x = 64,203,127.63/10,935.69
  6. Step 6: Final answer
    x = 5,870.97

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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.