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Finding the Fourth Proportional to 7,822.67, 10,792.64 and 4,463.12

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Solution

The fourth proportional to 7,822.67, 10,792.64 and 4,463.12 is: 6,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.67 : 10,792.64 = 4,463.12 : x
  2. Step 2: Convert to fraction form
    7,822.67/10,792.64 = 4,463.12/x
  3. Step 3: Cross multiply
    7,822.67x = 10,792.64 × 4,463.12
  4. Step 4: Simplify right side
    7,822.67x = 48,168,847.44
  5. Step 5: Solve for x
    x = 48,168,847.44/7,822.67
  6. Step 6: Final answer
    x = 6,157.60

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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.