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Finding the Fourth Proportional to 7,822.77, 10,792.32 and 4,833.42

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Solution

The fourth proportional to 7,822.77, 10,792.32 and 4,833.42 is: 6,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.77 : 10,792.32 = 4,833.42 : x
  2. Step 2: Convert to fraction form
    7,822.77/10,792.32 = 4,833.42/x
  3. Step 3: Cross multiply
    7,822.77x = 10,792.32 × 4,833.42
  4. Step 4: Simplify right side
    7,822.77x = 52,163,792.99
  5. Step 5: Solve for x
    x = 52,163,792.99/7,822.77
  6. Step 6: Final answer
    x = 6,668.20

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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.