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Finding the Fourth Proportional to 11,970.32, 16,519.28 and 6,664.96

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Solution

The fourth proportional to 11,970.32, 16,519.28 and 6,664.96 is: 9,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.32 : 16,519.28 = 6,664.96 : x
  2. Step 2: Convert to fraction form
    11,970.32/16,519.28 = 6,664.96/x
  3. Step 3: Cross multiply
    11,970.32x = 16,519.28 × 6,664.96
  4. Step 4: Simplify right side
    11,970.32x = 110,100,340.43
  5. Step 5: Solve for x
    x = 110,100,340.43/11,970.32
  6. Step 6: Final answer
    x = 9,197.78

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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.