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Finding the Fourth Proportional to 7,822.84, 10,796.57 and 4,464.90

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Solution

The fourth proportional to 7,822.84, 10,796.57 and 4,464.90 is: 6,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.84 : 10,796.57 = 4,464.90 : x
  2. Step 2: Convert to fraction form
    7,822.84/10,796.57 = 4,464.90/x
  3. Step 3: Cross multiply
    7,822.84x = 10,796.57 × 4,464.90
  4. Step 4: Simplify right side
    7,822.84x = 48,205,605.39
  5. Step 5: Solve for x
    x = 48,205,605.39/7,822.84
  6. Step 6: Final answer
    x = 6,162.16

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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.