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Finding the Fourth Proportional to 7,614.98, 11,422.71 and 2,068.31

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Solution

The fourth proportional to 7,614.98, 11,422.71 and 2,068.31 is: 3,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.98 : 11,422.71 = 2,068.31 : x
  2. Step 2: Convert to fraction form
    7,614.98/11,422.71 = 2,068.31/x
  3. Step 3: Cross multiply
    7,614.98x = 11,422.71 × 2,068.31
  4. Step 4: Simplify right side
    7,614.98x = 23,625,705.32
  5. Step 5: Solve for x
    x = 23,625,705.32/7,614.98
  6. Step 6: Final answer
    x = 3,102.53

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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.