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Finding the Fourth Proportional to 7,795.42, 11,691.39 and 2,248.78

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Solution

The fourth proportional to 7,795.42, 11,691.39 and 2,248.78 is: 3,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.42 : 11,691.39 = 2,248.78 : x
  2. Step 2: Convert to fraction form
    7,795.42/11,691.39 = 2,248.78/x
  3. Step 3: Cross multiply
    7,795.42x = 11,691.39 × 2,248.78
  4. Step 4: Simplify right side
    7,795.42x = 26,291,364.00
  5. Step 5: Solve for x
    x = 26,291,364.00/7,795.42
  6. Step 6: Final answer
    x = 3,372.67

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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.