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Finding the Fourth Proportional to 7,591.67, 11,388.05 and 2,397.50

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Solution

The fourth proportional to 7,591.67, 11,388.05 and 2,397.50 is: 3,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.67 : 11,388.05 = 2,397.50 : x
  2. Step 2: Convert to fraction form
    7,591.67/11,388.05 = 2,397.50/x
  3. Step 3: Cross multiply
    7,591.67x = 11,388.05 × 2,397.50
  4. Step 4: Simplify right side
    7,591.67x = 27,302,837.89
  5. Step 5: Solve for x
    x = 27,302,837.89/7,591.67
  6. Step 6: Final answer
    x = 3,596.42

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Why These Related Problems?

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