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Finding the Fourth Proportional to 10,857.72, 16,289.46 and 4,282.32

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Solution

The fourth proportional to 10,857.72, 16,289.46 and 4,282.32 is: 6,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.72 : 16,289.46 = 4,282.32 : x
  2. Step 2: Convert to fraction form
    10,857.72/16,289.46 = 4,282.32/x
  3. Step 3: Cross multiply
    10,857.72x = 16,289.46 × 4,282.32
  4. Step 4: Simplify right side
    10,857.72x = 69,756,680.35
  5. Step 5: Solve for x
    x = 69,756,680.35/10,857.72
  6. Step 6: Final answer
    x = 6,424.62

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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.