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Finding the Fourth Proportional to 8,149.34, 12,223.80 and 2,603.04

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Solution

The fourth proportional to 8,149.34, 12,223.80 and 2,603.04 is: 3,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.34 : 12,223.80 = 2,603.04 : x
  2. Step 2: Convert to fraction form
    8,149.34/12,223.80 = 2,603.04/x
  3. Step 3: Cross multiply
    8,149.34x = 12,223.80 × 2,603.04
  4. Step 4: Simplify right side
    8,149.34x = 31,819,040.35
  5. Step 5: Solve for x
    x = 31,819,040.35/8,149.34
  6. Step 6: Final answer
    x = 3,904.49

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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.