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Finding the Fourth Proportional to 7,832.48, 11,756.44 and 5,326

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Solution

The fourth proportional to 7,832.48, 11,756.44 and 5,326 is: 7,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.48 : 11,756.44 = 5,326 : x
  2. Step 2: Convert to fraction form
    7,832.48/11,756.44 = 5,326/x
  3. Step 3: Cross multiply
    7,832.48x = 11,756.44 × 5,326
  4. Step 4: Simplify right side
    7,832.48x = 62,614,799.44
  5. Step 5: Solve for x
    x = 62,614,799.44/7,832.48
  6. Step 6: Final answer
    x = 7,994.25

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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.