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Finding the Fourth Proportional to 10,983.35, 16,475.02 and 4,409.53

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Solution

The fourth proportional to 10,983.35, 16,475.02 and 4,409.53 is: 6,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.35 : 16,475.02 = 4,409.53 : x
  2. Step 2: Convert to fraction form
    10,983.35/16,475.02 = 4,409.53/x
  3. Step 3: Cross multiply
    10,983.35x = 16,475.02 × 4,409.53
  4. Step 4: Simplify right side
    10,983.35x = 72,647,104.51
  5. Step 5: Solve for x
    x = 72,647,104.51/10,983.35
  6. Step 6: Final answer
    x = 6,614.29

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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.