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Finding the Fourth Proportional to 10,078.70, 13,906.50 and 5,886.96

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Solution

The fourth proportional to 10,078.70, 13,906.50 and 5,886.96 is: 8,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.70 : 13,906.50 = 5,886.96 : x
  2. Step 2: Convert to fraction form
    10,078.70/13,906.50 = 5,886.96/x
  3. Step 3: Cross multiply
    10,078.70x = 13,906.50 × 5,886.96
  4. Step 4: Simplify right side
    10,078.70x = 81,867,009.24
  5. Step 5: Solve for x
    x = 81,867,009.24/10,078.70
  6. Step 6: Final answer
    x = 8,122.77

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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.