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Finding the Fourth Proportional to 7,140.56, 10,713.37 and 3,191.45

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Solution

The fourth proportional to 7,140.56, 10,713.37 and 3,191.45 is: 4,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.56 : 10,713.37 = 3,191.45 : x
  2. Step 2: Convert to fraction form
    7,140.56/10,713.37 = 3,191.45/x
  3. Step 3: Cross multiply
    7,140.56x = 10,713.37 × 3,191.45
  4. Step 4: Simplify right side
    7,140.56x = 34,191,168.73
  5. Step 5: Solve for x
    x = 34,191,168.73/7,140.56
  6. Step 6: Final answer
    x = 4,788.31

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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.