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Finding the Fourth Proportional to 10,775.08, 16,169.94 and 5,846.20

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Solution

The fourth proportional to 10,775.08, 16,169.94 and 5,846.20 is: 8,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.08 : 16,169.94 = 5,846.20 : x
  2. Step 2: Convert to fraction form
    10,775.08/16,169.94 = 5,846.20/x
  3. Step 3: Cross multiply
    10,775.08x = 16,169.94 × 5,846.20
  4. Step 4: Simplify right side
    10,775.08x = 94,532,703.23
  5. Step 5: Solve for x
    x = 94,532,703.23/10,775.08
  6. Step 6: Final answer
    x = 8,773.27

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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.