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Finding the Fourth Proportional to 7,735.83, 11,603.64 and 1,892.49

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Solution

The fourth proportional to 7,735.83, 11,603.64 and 1,892.49 is: 2,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.83 : 11,603.64 = 1,892.49 : x
  2. Step 2: Convert to fraction form
    7,735.83/11,603.64 = 1,892.49/x
  3. Step 3: Cross multiply
    7,735.83x = 11,603.64 × 1,892.49
  4. Step 4: Simplify right side
    7,735.83x = 21,959,772.66
  5. Step 5: Solve for x
    x = 21,959,772.66/7,735.83
  6. Step 6: Final answer
    x = 2,838.71

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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.