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Finding the Fourth Proportional to 11,946.97, 16,486.05 and 6,641.65

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Solution

The fourth proportional to 11,946.97, 16,486.05 and 6,641.65 is: 9,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.97 : 16,486.05 = 6,641.65 : x
  2. Step 2: Convert to fraction form
    11,946.97/16,486.05 = 6,641.65/x
  3. Step 3: Cross multiply
    11,946.97x = 16,486.05 × 6,641.65
  4. Step 4: Simplify right side
    11,946.97x = 109,494,573.98
  5. Step 5: Solve for x
    x = 109,494,573.98/11,946.97
  6. Step 6: Final answer
    x = 9,165.05

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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.