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Finding the Fourth Proportional to 7,651.54, 11,477.31 and 2,461.06

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Solution

The fourth proportional to 7,651.54, 11,477.31 and 2,461.06 is: 3,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.54 : 11,477.31 = 2,461.06 : x
  2. Step 2: Convert to fraction form
    7,651.54/11,477.31 = 2,461.06/x
  3. Step 3: Cross multiply
    7,651.54x = 11,477.31 × 2,461.06
  4. Step 4: Simplify right side
    7,651.54x = 28,246,278.86
  5. Step 5: Solve for x
    x = 28,246,278.86/7,651.54
  6. Step 6: Final answer
    x = 3,691.58

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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.