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Finding the Fourth Proportional to 8,233.83, 12,353.37 and 5,103.57

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Solution

The fourth proportional to 8,233.83, 12,353.37 and 5,103.57 is: 7,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.83 : 12,353.37 = 5,103.57 : x
  2. Step 2: Convert to fraction form
    8,233.83/12,353.37 = 5,103.57/x
  3. Step 3: Cross multiply
    8,233.83x = 12,353.37 × 5,103.57
  4. Step 4: Simplify right side
    8,233.83x = 63,046,288.53
  5. Step 5: Solve for x
    x = 63,046,288.53/8,233.83
  6. Step 6: Final answer
    x = 7,656.98

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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.