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Finding the Fourth Proportional to 7,190.56, 10,784.22 and 2,805.76

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Solution

The fourth proportional to 7,190.56, 10,784.22 and 2,805.76 is: 4,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.56 : 10,784.22 = 2,805.76 : x
  2. Step 2: Convert to fraction form
    7,190.56/10,784.22 = 2,805.76/x
  3. Step 3: Cross multiply
    7,190.56x = 10,784.22 × 2,805.76
  4. Step 4: Simplify right side
    7,190.56x = 30,257,933.11
  5. Step 5: Solve for x
    x = 30,257,933.11/7,190.56
  6. Step 6: Final answer
    x = 4,208.01

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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.