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Finding the Fourth Proportional to 7,612.30, 11,418.41 and 2,065.63

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Solution

The fourth proportional to 7,612.30, 11,418.41 and 2,065.63 is: 3,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.30 : 11,418.41 = 2,065.63 : x
  2. Step 2: Convert to fraction form
    7,612.30/11,418.41 = 2,065.63/x
  3. Step 3: Cross multiply
    7,612.30x = 11,418.41 × 2,065.63
  4. Step 4: Simplify right side
    7,612.30x = 23,586,186.87
  5. Step 5: Solve for x
    x = 23,586,186.87/7,612.30
  6. Step 6: Final answer
    x = 3,098.43

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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.