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Finding the Fourth Proportional to 8,176.54, 12,261.13 and 2,331.76

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Solution

The fourth proportional to 8,176.54, 12,261.13 and 2,331.76 is: 3,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.54 : 12,261.13 = 2,331.76 : x
  2. Step 2: Convert to fraction form
    8,176.54/12,261.13 = 2,331.76/x
  3. Step 3: Cross multiply
    8,176.54x = 12,261.13 × 2,331.76
  4. Step 4: Simplify right side
    8,176.54x = 28,590,012.49
  5. Step 5: Solve for x
    x = 28,590,012.49/8,176.54
  6. Step 6: Final answer
    x = 3,496.59

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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.