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Finding the Fourth Proportional to 8,213.72, 12,311.74 and 4,261.02

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Solution

The fourth proportional to 8,213.72, 12,311.74 and 4,261.02 is: 6,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.72 : 12,311.74 = 4,261.02 : x
  2. Step 2: Convert to fraction form
    8,213.72/12,311.74 = 4,261.02/x
  3. Step 3: Cross multiply
    8,213.72x = 12,311.74 × 4,261.02
  4. Step 4: Simplify right side
    8,213.72x = 52,460,529.53
  5. Step 5: Solve for x
    x = 52,460,529.53/8,213.72
  6. Step 6: Final answer
    x = 6,386.94

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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.