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Finding the Fourth Proportional to 7,844.59, 10,821.01 and 4,698.95

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Solution

The fourth proportional to 7,844.59, 10,821.01 and 4,698.95 is: 6,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.59 : 10,821.01 = 4,698.95 : x
  2. Step 2: Convert to fraction form
    7,844.59/10,821.01 = 4,698.95/x
  3. Step 3: Cross multiply
    7,844.59x = 10,821.01 × 4,698.95
  4. Step 4: Simplify right side
    7,844.59x = 50,847,361.44
  5. Step 5: Solve for x
    x = 50,847,361.44/7,844.59
  6. Step 6: Final answer
    x = 6,481.84

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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.