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Finding the Fourth Proportional to 11,626, 16,045.96 and 6,591.88

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Solution

The fourth proportional to 11,626, 16,045.96 and 6,591.88 is: 9,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626 : 16,045.96 = 6,591.88 : x
  2. Step 2: Convert to fraction form
    11,626/16,045.96 = 6,591.88/x
  3. Step 3: Cross multiply
    11,626x = 16,045.96 × 6,591.88
  4. Step 4: Simplify right side
    11,626x = 105,773,042.80
  5. Step 5: Solve for x
    x = 105,773,042.80/11,626
  6. Step 6: Final answer
    x = 9,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.