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Finding the Fourth Proportional to 8,111.46, 12,164.76 and 4,213.74

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Solution

The fourth proportional to 8,111.46, 12,164.76 and 4,213.74 is: 6,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.46 : 12,164.76 = 4,213.74 : x
  2. Step 2: Convert to fraction form
    8,111.46/12,164.76 = 4,213.74/x
  3. Step 3: Cross multiply
    8,111.46x = 12,164.76 × 4,213.74
  4. Step 4: Simplify right side
    8,111.46x = 51,259,135.80
  5. Step 5: Solve for x
    x = 51,259,135.80/8,111.46
  6. Step 6: Final answer
    x = 6,319.35

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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.