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Finding the Fourth Proportional to 7,189.88, 10,783.92 and 5,343.70

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Solution

The fourth proportional to 7,189.88, 10,783.92 and 5,343.70 is: 8,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.88 : 10,783.92 = 5,343.70 : x
  2. Step 2: Convert to fraction form
    7,189.88/10,783.92 = 5,343.70/x
  3. Step 3: Cross multiply
    7,189.88x = 10,783.92 × 5,343.70
  4. Step 4: Simplify right side
    7,189.88x = 57,626,033.30
  5. Step 5: Solve for x
    x = 57,626,033.30/7,189.88
  6. Step 6: Final answer
    x = 8,014.88

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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.