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Finding the Fourth Proportional to 8,203.98, 12,308.85 and 5,122.38

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Solution

The fourth proportional to 8,203.98, 12,308.85 and 5,122.38 is: 7,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.98 : 12,308.85 = 5,122.38 : x
  2. Step 2: Convert to fraction form
    8,203.98/12,308.85 = 5,122.38/x
  3. Step 3: Cross multiply
    8,203.98x = 12,308.85 × 5,122.38
  4. Step 4: Simplify right side
    8,203.98x = 63,050,607.06
  5. Step 5: Solve for x
    x = 63,050,607.06/8,203.98
  6. Step 6: Final answer
    x = 7,685.37

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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.