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Finding the Fourth Proportional to 6,762.78, 10,142.93 and 1,832.82

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Solution

The fourth proportional to 6,762.78, 10,142.93 and 1,832.82 is: 2,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.78 : 10,142.93 = 1,832.82 : x
  2. Step 2: Convert to fraction form
    6,762.78/10,142.93 = 1,832.82/x
  3. Step 3: Cross multiply
    6,762.78x = 10,142.93 × 1,832.82
  4. Step 4: Simplify right side
    6,762.78x = 18,590,164.96
  5. Step 5: Solve for x
    x = 18,590,164.96/6,762.78
  6. Step 6: Final answer
    x = 2,748.89

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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.