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Finding the Fourth Proportional to 10,698.66, 16,042.11 and 3,301.08

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Solution

The fourth proportional to 10,698.66, 16,042.11 and 3,301.08 is: 4,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.66 : 16,042.11 = 3,301.08 : x
  2. Step 2: Convert to fraction form
    10,698.66/16,042.11 = 3,301.08/x
  3. Step 3: Cross multiply
    10,698.66x = 16,042.11 × 3,301.08
  4. Step 4: Simplify right side
    10,698.66x = 52,956,288.48
  5. Step 5: Solve for x
    x = 52,956,288.48/10,698.66
  6. Step 6: Final answer
    x = 4,949.81

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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.