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Finding the Fourth Proportional to 7,725.75, 11,489.24 and 7,479.72

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Solution

The fourth proportional to 7,725.75, 11,489.24 and 7,479.72 is: 11,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.75 : 11,489.24 = 7,479.72 : x
  2. Step 2: Convert to fraction form
    7,725.75/11,489.24 = 7,479.72/x
  3. Step 3: Cross multiply
    7,725.75x = 11,489.24 × 7,479.72
  4. Step 4: Simplify right side
    7,725.75x = 85,936,298.21
  5. Step 5: Solve for x
    x = 85,936,298.21/7,725.75
  6. Step 6: Final answer
    x = 11,123.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.