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Finding the Fourth Proportional to 8,264, 11,404.32 and 4,538

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Solution

The fourth proportional to 8,264, 11,404.32 and 4,538 is: 6,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 11,404.32 = 4,538 : x
  2. Step 2: Convert to fraction form
    8,264/11,404.32 = 4,538/x
  3. Step 3: Cross multiply
    8,264x = 11,404.32 × 4,538
  4. Step 4: Simplify right side
    8,264x = 51,752,804.16
  5. Step 5: Solve for x
    x = 51,752,804.16/8,264
  6. Step 6: Final answer
    x = 6,262.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.