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Finding the Fourth Proportional to 10,520.69, 15,776.28 and 3,022.56

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Solution

The fourth proportional to 10,520.69, 15,776.28 and 3,022.56 is: 4,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.69 : 15,776.28 = 3,022.56 : x
  2. Step 2: Convert to fraction form
    10,520.69/15,776.28 = 3,022.56/x
  3. Step 3: Cross multiply
    10,520.69x = 15,776.28 × 3,022.56
  4. Step 4: Simplify right side
    10,520.69x = 47,684,752.88
  5. Step 5: Solve for x
    x = 47,684,752.88/10,520.69
  6. Step 6: Final answer
    x = 4,532.48

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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.