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Finding the Fourth Proportional to 10,782.51, 16,168.69 and 5,850.82

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Solution

The fourth proportional to 10,782.51, 16,168.69 and 5,850.82 is: 8,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.51 : 16,168.69 = 5,850.82 : x
  2. Step 2: Convert to fraction form
    10,782.51/16,168.69 = 5,850.82/x
  3. Step 3: Cross multiply
    10,782.51x = 16,168.69 × 5,850.82
  4. Step 4: Simplify right side
    10,782.51x = 94,600,094.83
  5. Step 5: Solve for x
    x = 94,600,094.83/10,782.51
  6. Step 6: Final answer
    x = 8,773.48

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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.