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Finding the Fourth Proportional to 10,784.66, 16,169.18 and 3,385.12

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Solution

The fourth proportional to 10,784.66, 16,169.18 and 3,385.12 is: 5,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.66 : 16,169.18 = 3,385.12 : x
  2. Step 2: Convert to fraction form
    10,784.66/16,169.18 = 3,385.12/x
  3. Step 3: Cross multiply
    10,784.66x = 16,169.18 × 3,385.12
  4. Step 4: Simplify right side
    10,784.66x = 54,734,614.60
  5. Step 5: Solve for x
    x = 54,734,614.60/10,784.66
  6. Step 6: Final answer
    x = 5,075.23

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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.