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Finding the Fourth Proportional to 11,947.96, 16,486.24 and 6,642.64

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Solution

The fourth proportional to 11,947.96, 16,486.24 and 6,642.64 is: 9,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.96 : 16,486.24 = 6,642.64 : x
  2. Step 2: Convert to fraction form
    11,947.96/16,486.24 = 6,642.64/x
  3. Step 3: Cross multiply
    11,947.96x = 16,486.24 × 6,642.64
  4. Step 4: Simplify right side
    11,947.96x = 109,512,041.63
  5. Step 5: Solve for x
    x = 109,512,041.63/11,947.96
  6. Step 6: Final answer
    x = 9,165.76

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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.