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Finding the Fourth Proportional to 8,149.64, 12,223.43 and 2,603.57

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Solution

The fourth proportional to 8,149.64, 12,223.43 and 2,603.57 is: 3,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.64 : 12,223.43 = 2,603.57 : x
  2. Step 2: Convert to fraction form
    8,149.64/12,223.43 = 2,603.57/x
  3. Step 3: Cross multiply
    8,149.64x = 12,223.43 × 2,603.57
  4. Step 4: Simplify right side
    8,149.64x = 31,824,481.51
  5. Step 5: Solve for x
    x = 31,824,481.51/8,149.64
  6. Step 6: Final answer
    x = 3,905.02

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