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Finding the Fourth Proportional to 11,947.88, 16,487.94 and 6,643.16

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Solution

The fourth proportional to 11,947.88, 16,487.94 and 6,643.16 is: 9,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.88 : 16,487.94 = 6,643.16 : x
  2. Step 2: Convert to fraction form
    11,947.88/16,487.94 = 6,643.16/x
  3. Step 3: Cross multiply
    11,947.88x = 16,487.94 × 6,643.16
  4. Step 4: Simplify right side
    11,947.88x = 109,532,023.49
  5. Step 5: Solve for x
    x = 109,532,023.49/11,947.88
  6. Step 6: Final answer
    x = 9,167.49

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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.