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Finding the Fourth Proportional to 10,529.49, 15,794.94 and 3,509.22

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Solution

The fourth proportional to 10,529.49, 15,794.94 and 3,509.22 is: 5,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.49 : 15,794.94 = 3,509.22 : x
  2. Step 2: Convert to fraction form
    10,529.49/15,794.94 = 3,509.22/x
  3. Step 3: Cross multiply
    10,529.49x = 15,794.94 × 3,509.22
  4. Step 4: Simplify right side
    10,529.49x = 55,427,919.35
  5. Step 5: Solve for x
    x = 55,427,919.35/10,529.49
  6. Step 6: Final answer
    x = 5,264.06

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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.