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Finding the Fourth Proportional to 7,893.48, 10,892.84 and 4,308.32

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Solution

The fourth proportional to 7,893.48, 10,892.84 and 4,308.32 is: 5,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.48 : 10,892.84 = 4,308.32 : x
  2. Step 2: Convert to fraction form
    7,893.48/10,892.84 = 4,308.32/x
  3. Step 3: Cross multiply
    7,893.48x = 10,892.84 × 4,308.32
  4. Step 4: Simplify right side
    7,893.48x = 46,929,829.66
  5. Step 5: Solve for x
    x = 46,929,829.66/7,893.48
  6. Step 6: Final answer
    x = 5,945.39

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Why These Related Problems?

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