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Finding the Fourth Proportional to 7,835.78, 10,813.32 and 4,299

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Solution

The fourth proportional to 7,835.78, 10,813.32 and 4,299 is: 5,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.78 : 10,813.32 = 4,299 : x
  2. Step 2: Convert to fraction form
    7,835.78/10,813.32 = 4,299/x
  3. Step 3: Cross multiply
    7,835.78x = 10,813.32 × 4,299
  4. Step 4: Simplify right side
    7,835.78x = 46,486,462.68
  5. Step 5: Solve for x
    x = 46,486,462.68/7,835.78
  6. Step 6: Final answer
    x = 5,932.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.