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Finding the Fourth Proportional to 7,685.98, 11,531.40 and 2,755.50

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Solution

The fourth proportional to 7,685.98, 11,531.40 and 2,755.50 is: 4,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.98 : 11,531.40 = 2,755.50 : x
  2. Step 2: Convert to fraction form
    7,685.98/11,531.40 = 2,755.50/x
  3. Step 3: Cross multiply
    7,685.98x = 11,531.40 × 2,755.50
  4. Step 4: Simplify right side
    7,685.98x = 31,774,772.70
  5. Step 5: Solve for x
    x = 31,774,772.70/7,685.98
  6. Step 6: Final answer
    x = 4,134.12

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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.