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Finding the Fourth Proportional to 7,725.98, 11,588.97 and 2,794.47

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Solution

The fourth proportional to 7,725.98, 11,588.97 and 2,794.47 is: 4,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.98 : 11,588.97 = 2,794.47 : x
  2. Step 2: Convert to fraction form
    7,725.98/11,588.97 = 2,794.47/x
  3. Step 3: Cross multiply
    7,725.98x = 11,588.97 × 2,794.47
  4. Step 4: Simplify right side
    7,725.98x = 32,385,029.00
  5. Step 5: Solve for x
    x = 32,385,029.00/7,725.98
  6. Step 6: Final answer
    x = 4,191.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.