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Finding the Fourth Proportional to 7,822.17, 10,791.95 and 4,462.62

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Solution

The fourth proportional to 7,822.17, 10,791.95 and 4,462.62 is: 6,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.17 : 10,791.95 = 4,462.62 : x
  2. Step 2: Convert to fraction form
    7,822.17/10,791.95 = 4,462.62/x
  3. Step 3: Cross multiply
    7,822.17x = 10,791.95 × 4,462.62
  4. Step 4: Simplify right side
    7,822.17x = 48,160,371.91
  5. Step 5: Solve for x
    x = 48,160,371.91/7,822.17
  6. Step 6: Final answer
    x = 6,156.91

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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.