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Finding the Fourth Proportional to 7,725.56, 11,590.10 and 2,531.32

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Solution

The fourth proportional to 7,725.56, 11,590.10 and 2,531.32 is: 3,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.56 : 11,590.10 = 2,531.32 : x
  2. Step 2: Convert to fraction form
    7,725.56/11,590.10 = 2,531.32/x
  3. Step 3: Cross multiply
    7,725.56x = 11,590.10 × 2,531.32
  4. Step 4: Simplify right side
    7,725.56x = 29,338,251.93
  5. Step 5: Solve for x
    x = 29,338,251.93/7,725.56
  6. Step 6: Final answer
    x = 3,797.56

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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.