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Finding the Fourth Proportional to 8,176.41, 12,264.27 and 2,333.01

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Solution

The fourth proportional to 8,176.41, 12,264.27 and 2,333.01 is: 3,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.41 : 12,264.27 = 2,333.01 : x
  2. Step 2: Convert to fraction form
    8,176.41/12,264.27 = 2,333.01/x
  3. Step 3: Cross multiply
    8,176.41x = 12,264.27 × 2,333.01
  4. Step 4: Simplify right side
    8,176.41x = 28,612,664.55
  5. Step 5: Solve for x
    x = 28,612,664.55/8,176.41
  6. Step 6: Final answer
    x = 3,499.42

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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.