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Finding the Fourth Proportional to 7,820.55, 10,794.06 and 5,168.34

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Solution

The fourth proportional to 7,820.55, 10,794.06 and 5,168.34 is: 7,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.55 : 10,794.06 = 5,168.34 : x
  2. Step 2: Convert to fraction form
    7,820.55/10,794.06 = 5,168.34/x
  3. Step 3: Cross multiply
    7,820.55x = 10,794.06 × 5,168.34
  4. Step 4: Simplify right side
    7,820.55x = 55,787,372.06
  5. Step 5: Solve for x
    x = 55,787,372.06/7,820.55
  6. Step 6: Final answer
    x = 7,133.43

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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.