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Finding the Fourth Proportional to 10,093.90, 13,929.45 and 5,845.54

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Solution

The fourth proportional to 10,093.90, 13,929.45 and 5,845.54 is: 8,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.90 : 13,929.45 = 5,845.54 : x
  2. Step 2: Convert to fraction form
    10,093.90/13,929.45 = 5,845.54/x
  3. Step 3: Cross multiply
    10,093.90x = 13,929.45 × 5,845.54
  4. Step 4: Simplify right side
    10,093.90x = 81,425,157.15
  5. Step 5: Solve for x
    x = 81,425,157.15/10,093.90
  6. Step 6: Final answer
    x = 8,066.77

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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.