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Finding the Fourth Proportional to 5,143.73, 7,716.06 and 1,445.94

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Solution

The fourth proportional to 5,143.73, 7,716.06 and 1,445.94 is: 2,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.73 : 7,716.06 = 1,445.94 : x
  2. Step 2: Convert to fraction form
    5,143.73/7,716.06 = 1,445.94/x
  3. Step 3: Cross multiply
    5,143.73x = 7,716.06 × 1,445.94
  4. Step 4: Simplify right side
    5,143.73x = 11,156,959.80
  5. Step 5: Solve for x
    x = 11,156,959.80/5,143.73
  6. Step 6: Final answer
    x = 2,169.04

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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.