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Finding the Fourth Proportional to 7,761.51, 11,634.75 and 3,079.98

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Solution

The fourth proportional to 7,761.51, 11,634.75 and 3,079.98 is: 4,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.51 : 11,634.75 = 3,079.98 : x
  2. Step 2: Convert to fraction form
    7,761.51/11,634.75 = 3,079.98/x
  3. Step 3: Cross multiply
    7,761.51x = 11,634.75 × 3,079.98
  4. Step 4: Simplify right side
    7,761.51x = 35,834,797.31
  5. Step 5: Solve for x
    x = 35,834,797.31/7,761.51
  6. Step 6: Final answer
    x = 4,616.99

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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.