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Finding the Fourth Proportional to 8,542.84, 11,788.21 and 5,005.39

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Solution

The fourth proportional to 8,542.84, 11,788.21 and 5,005.39 is: 6,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.84 : 11,788.21 = 5,005.39 : x
  2. Step 2: Convert to fraction form
    8,542.84/11,788.21 = 5,005.39/x
  3. Step 3: Cross multiply
    8,542.84x = 11,788.21 × 5,005.39
  4. Step 4: Simplify right side
    8,542.84x = 59,004,588.45
  5. Step 5: Solve for x
    x = 59,004,588.45/8,542.84
  6. Step 6: Final answer
    x = 6,906.91

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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.