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Finding the Fourth Proportional to 7,820.23, 10,791.94 and 4,235.20

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Solution

The fourth proportional to 7,820.23, 10,791.94 and 4,235.20 is: 5,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.23 : 10,791.94 = 4,235.20 : x
  2. Step 2: Convert to fraction form
    7,820.23/10,791.94 = 4,235.20/x
  3. Step 3: Cross multiply
    7,820.23x = 10,791.94 × 4,235.20
  4. Step 4: Simplify right side
    7,820.23x = 45,706,024.29
  5. Step 5: Solve for x
    x = 45,706,024.29/7,820.23
  6. Step 6: Final answer
    x = 5,844.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.