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Finding the Fourth Proportional to 8,542.86, 11,788.85 and 5,005.99

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Solution

The fourth proportional to 8,542.86, 11,788.85 and 5,005.99 is: 6,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.86 : 11,788.85 = 5,005.99 : x
  2. Step 2: Convert to fraction form
    8,542.86/11,788.85 = 5,005.99/x
  3. Step 3: Cross multiply
    8,542.86x = 11,788.85 × 5,005.99
  4. Step 4: Simplify right side
    8,542.86x = 59,014,865.21
  5. Step 5: Solve for x
    x = 59,014,865.21/8,542.86
  6. Step 6: Final answer
    x = 6,908.09

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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.