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Finding the Fourth Proportional to 8,176.76, 12,263.30 and 2,333.24

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Solution

The fourth proportional to 8,176.76, 12,263.30 and 2,333.24 is: 3,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.76 : 12,263.30 = 2,333.24 : x
  2. Step 2: Convert to fraction form
    8,176.76/12,263.30 = 2,333.24/x
  3. Step 3: Cross multiply
    8,176.76x = 12,263.30 × 2,333.24
  4. Step 4: Simplify right side
    8,176.76x = 28,613,222.09
  5. Step 5: Solve for x
    x = 28,613,222.09/8,176.76
  6. Step 6: Final answer
    x = 3,499.33

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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.