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Finding the Fourth Proportional to 11,947.95, 16,488.09 and 6,642.90

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Solution

The fourth proportional to 11,947.95, 16,488.09 and 6,642.90 is: 9,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.95 : 16,488.09 = 6,642.90 : x
  2. Step 2: Convert to fraction form
    11,947.95/16,488.09 = 6,642.90/x
  3. Step 3: Cross multiply
    11,947.95x = 16,488.09 × 6,642.90
  4. Step 4: Simplify right side
    11,947.95x = 109,528,733.06
  5. Step 5: Solve for x
    x = 109,528,733.06/11,947.95
  6. Step 6: Final answer
    x = 9,167.16

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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.