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Finding the Fourth Proportional to 11,947.57, 16,488 and 6,642.72

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Solution

The fourth proportional to 11,947.57, 16,488 and 6,642.72 is: 9,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.57 : 16,488 = 6,642.72 : x
  2. Step 2: Convert to fraction form
    11,947.57/16,488 = 6,642.72/x
  3. Step 3: Cross multiply
    11,947.57x = 16,488 × 6,642.72
  4. Step 4: Simplify right side
    11,947.57x = 109,525,167.36
  5. Step 5: Solve for x
    x = 109,525,167.36/11,947.57
  6. Step 6: Final answer
    x = 9,167.15

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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.