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Finding the Fourth Proportional to 7,761.40, 11,641.96 and 2,830.99

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Solution

The fourth proportional to 7,761.40, 11,641.96 and 2,830.99 is: 4,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.40 : 11,641.96 = 2,830.99 : x
  2. Step 2: Convert to fraction form
    7,761.40/11,641.96 = 2,830.99/x
  3. Step 3: Cross multiply
    7,761.40x = 11,641.96 × 2,830.99
  4. Step 4: Simplify right side
    7,761.40x = 32,958,272.34
  5. Step 5: Solve for x
    x = 32,958,272.34/7,761.40
  6. Step 6: Final answer
    x = 4,246.43

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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.