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Finding the Fourth Proportional to 10,824.46, 16,242.46 and 4,250.70

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Solution

The fourth proportional to 10,824.46, 16,242.46 and 4,250.70 is: 6,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.46 : 16,242.46 = 4,250.70 : x
  2. Step 2: Convert to fraction form
    10,824.46/16,242.46 = 4,250.70/x
  3. Step 3: Cross multiply
    10,824.46x = 16,242.46 × 4,250.70
  4. Step 4: Simplify right side
    10,824.46x = 69,041,814.10
  5. Step 5: Solve for x
    x = 69,041,814.10/10,824.46
  6. Step 6: Final answer
    x = 6,378.32

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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.