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Finding the Fourth Proportional to 7,822.34, 10,796.22 and 4,680.62

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Solution

The fourth proportional to 7,822.34, 10,796.22 and 4,680.62 is: 6,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.34 : 10,796.22 = 4,680.62 : x
  2. Step 2: Convert to fraction form
    7,822.34/10,796.22 = 4,680.62/x
  3. Step 3: Cross multiply
    7,822.34x = 10,796.22 × 4,680.62
  4. Step 4: Simplify right side
    7,822.34x = 50,533,003.26
  5. Step 5: Solve for x
    x = 50,533,003.26/7,822.34
  6. Step 6: Final answer
    x = 6,460.09

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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.