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Finding the Fourth Proportional to 11,970.81, 16,519.42 and 6,665.51

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Solution

The fourth proportional to 11,970.81, 16,519.42 and 6,665.51 is: 9,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.81 : 16,519.42 = 6,665.51 : x
  2. Step 2: Convert to fraction form
    11,970.81/16,519.42 = 6,665.51/x
  3. Step 3: Cross multiply
    11,970.81x = 16,519.42 × 6,665.51
  4. Step 4: Simplify right side
    11,970.81x = 110,110,359.20
  5. Step 5: Solve for x
    x = 110,110,359.20/11,970.81
  6. Step 6: Final answer
    x = 9,198.24

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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.