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Finding the Fourth Proportional to 6,161.52, 9,240.84 and 1,778.04

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Solution

The fourth proportional to 6,161.52, 9,240.84 and 1,778.04 is: 2,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.52 : 9,240.84 = 1,778.04 : x
  2. Step 2: Convert to fraction form
    6,161.52/9,240.84 = 1,778.04/x
  3. Step 3: Cross multiply
    6,161.52x = 9,240.84 × 1,778.04
  4. Step 4: Simplify right side
    6,161.52x = 16,430,583.15
  5. Step 5: Solve for x
    x = 16,430,583.15/6,161.52
  6. Step 6: Final answer
    x = 2,666.64

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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.