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Finding the Fourth Proportional to 10,822.32, 16,230.65 and 4,896.90

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Solution

The fourth proportional to 10,822.32, 16,230.65 and 4,896.90 is: 7,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.32 : 16,230.65 = 4,896.90 : x
  2. Step 2: Convert to fraction form
    10,822.32/16,230.65 = 4,896.90/x
  3. Step 3: Cross multiply
    10,822.32x = 16,230.65 × 4,896.90
  4. Step 4: Simplify right side
    10,822.32x = 79,479,845.50
  5. Step 5: Solve for x
    x = 79,479,845.50/10,822.32
  6. Step 6: Final answer
    x = 7,344.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.