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Finding the Fourth Proportional to 8,175.42, 12,260.30 and 2,330.46

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Solution

The fourth proportional to 8,175.42, 12,260.30 and 2,330.46 is: 3,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.42 : 12,260.30 = 2,330.46 : x
  2. Step 2: Convert to fraction form
    8,175.42/12,260.30 = 2,330.46/x
  3. Step 3: Cross multiply
    8,175.42x = 12,260.30 × 2,330.46
  4. Step 4: Simplify right side
    8,175.42x = 28,572,127.09
  5. Step 5: Solve for x
    x = 28,572,127.09/8,175.42
  6. Step 6: Final answer
    x = 3,494.88

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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.