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Finding the Fourth Proportional to 7,822.17, 10,794.47 and 4,285.37

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Solution

The fourth proportional to 7,822.17, 10,794.47 and 4,285.37 is: 5,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.17 : 10,794.47 = 4,285.37 : x
  2. Step 2: Convert to fraction form
    7,822.17/10,794.47 = 4,285.37/x
  3. Step 3: Cross multiply
    7,822.17x = 10,794.47 × 4,285.37
  4. Step 4: Simplify right side
    7,822.17x = 46,258,297.90
  5. Step 5: Solve for x
    x = 46,258,297.90/7,822.17
  6. Step 6: Final answer
    x = 5,913.74

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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.