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Finding the Fourth Proportional to 7,820.47, 10,791.22 and 4,463.08

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Solution

The fourth proportional to 7,820.47, 10,791.22 and 4,463.08 is: 6,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.47 : 10,791.22 = 4,463.08 : x
  2. Step 2: Convert to fraction form
    7,820.47/10,791.22 = 4,463.08/x
  3. Step 3: Cross multiply
    7,820.47x = 10,791.22 × 4,463.08
  4. Step 4: Simplify right side
    7,820.47x = 48,162,078.16
  5. Step 5: Solve for x
    x = 48,162,078.16/7,820.47
  6. Step 6: Final answer
    x = 6,158.46

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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.