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Finding the Fourth Proportional to 7,847.95, 10,822.74 and 5,154.43

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Solution

The fourth proportional to 7,847.95, 10,822.74 and 5,154.43 is: 7,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.95 : 10,822.74 = 5,154.43 : x
  2. Step 2: Convert to fraction form
    7,847.95/10,822.74 = 5,154.43/x
  3. Step 3: Cross multiply
    7,847.95x = 10,822.74 × 5,154.43
  4. Step 4: Simplify right side
    7,847.95x = 55,785,055.74
  5. Step 5: Solve for x
    x = 55,785,055.74/7,847.95
  6. Step 6: Final answer
    x = 7,108.23

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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.