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Finding the Fourth Proportional to 10,686, 16,028.96 and 3,666.14

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Solution

The fourth proportional to 10,686, 16,028.96 and 3,666.14 is: 5,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686 : 16,028.96 = 3,666.14 : x
  2. Step 2: Convert to fraction form
    10,686/16,028.96 = 3,666.14/x
  3. Step 3: Cross multiply
    10,686x = 16,028.96 × 3,666.14
  4. Step 4: Simplify right side
    10,686x = 58,764,411.41
  5. Step 5: Solve for x
    x = 58,764,411.41/10,686
  6. Step 6: Final answer
    x = 5,499.20

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Why These Related Problems?

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