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Finding the Fourth Proportional to 7,801.70, 10,766.43 and 4,264.99

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Solution

The fourth proportional to 7,801.70, 10,766.43 and 4,264.99 is: 5,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.70 : 10,766.43 = 4,264.99 : x
  2. Step 2: Convert to fraction form
    7,801.70/10,766.43 = 4,264.99/x
  3. Step 3: Cross multiply
    7,801.70x = 10,766.43 × 4,264.99
  4. Step 4: Simplify right side
    7,801.70x = 45,918,716.29
  5. Step 5: Solve for x
    x = 45,918,716.29/7,801.70
  6. Step 6: Final answer
    x = 5,885.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.