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Finding the Fourth Proportional to 7,654.26, 11,481.12 and 2,460

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Solution

The fourth proportional to 7,654.26, 11,481.12 and 2,460 is: 3,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.26 : 11,481.12 = 2,460 : x
  2. Step 2: Convert to fraction form
    7,654.26/11,481.12 = 2,460/x
  3. Step 3: Cross multiply
    7,654.26x = 11,481.12 × 2,460
  4. Step 4: Simplify right side
    7,654.26x = 28,243,555.20
  5. Step 5: Solve for x
    x = 28,243,555.20/7,654.26
  6. Step 6: Final answer
    x = 3,689.91

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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.