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Finding the Fourth Proportional to 10,093.14, 13,925.75 and 6,058.94

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Solution

The fourth proportional to 10,093.14, 13,925.75 and 6,058.94 is: 8,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.14 : 13,925.75 = 6,058.94 : x
  2. Step 2: Convert to fraction form
    10,093.14/13,925.75 = 6,058.94/x
  3. Step 3: Cross multiply
    10,093.14x = 13,925.75 × 6,058.94
  4. Step 4: Simplify right side
    10,093.14x = 84,375,183.78
  5. Step 5: Solve for x
    x = 84,375,183.78/10,093.14
  6. Step 6: Final answer
    x = 8,359.66

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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.