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Finding the Fourth Proportional to 7,698.92, 11,549.18 and 2,434.12

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Solution

The fourth proportional to 7,698.92, 11,549.18 and 2,434.12 is: 3,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.92 : 11,549.18 = 2,434.12 : x
  2. Step 2: Convert to fraction form
    7,698.92/11,549.18 = 2,434.12/x
  3. Step 3: Cross multiply
    7,698.92x = 11,549.18 × 2,434.12
  4. Step 4: Simplify right side
    7,698.92x = 28,112,067.23
  5. Step 5: Solve for x
    x = 28,112,067.23/7,698.92
  6. Step 6: Final answer
    x = 3,651.43

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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.