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Finding the Fourth Proportional to 7,143.18, 10,713.42 and 1,947.84

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Solution

The fourth proportional to 7,143.18, 10,713.42 and 1,947.84 is: 2,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.18 : 10,713.42 = 1,947.84 : x
  2. Step 2: Convert to fraction form
    7,143.18/10,713.42 = 1,947.84/x
  3. Step 3: Cross multiply
    7,143.18x = 10,713.42 × 1,947.84
  4. Step 4: Simplify right side
    7,143.18x = 20,868,028.01
  5. Step 5: Solve for x
    x = 20,868,028.01/7,143.18
  6. Step 6: Final answer
    x = 2,921.39

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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.