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Finding the Fourth Proportional to 8,153.97, 12,237.06 and 3,774.50

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Solution

The fourth proportional to 8,153.97, 12,237.06 and 3,774.50 is: 5,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.97 : 12,237.06 = 3,774.50 : x
  2. Step 2: Convert to fraction form
    8,153.97/12,237.06 = 3,774.50/x
  3. Step 3: Cross multiply
    8,153.97x = 12,237.06 × 3,774.50
  4. Step 4: Simplify right side
    8,153.97x = 46,188,721.78
  5. Step 5: Solve for x
    x = 46,188,721.78/8,153.97
  6. Step 6: Final answer
    x = 5,664.57

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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.