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Finding the Fourth Proportional to 7,821.87, 10,794.21 and 4,839.45

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Solution

The fourth proportional to 7,821.87, 10,794.21 and 4,839.45 is: 6,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.87 : 10,794.21 = 4,839.45 : x
  2. Step 2: Convert to fraction form
    7,821.87/10,794.21 = 4,839.45/x
  3. Step 3: Cross multiply
    7,821.87x = 10,794.21 × 4,839.45
  4. Step 4: Simplify right side
    7,821.87x = 52,238,008.18
  5. Step 5: Solve for x
    x = 52,238,008.18/7,821.87
  6. Step 6: Final answer
    x = 6,678.46

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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.