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Finding the Fourth Proportional to 8,542.48, 11,788.86 and 5,005.84

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Solution

The fourth proportional to 8,542.48, 11,788.86 and 5,005.84 is: 6,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.48 : 11,788.86 = 5,005.84 : x
  2. Step 2: Convert to fraction form
    8,542.48/11,788.86 = 5,005.84/x
  3. Step 3: Cross multiply
    8,542.48x = 11,788.86 × 5,005.84
  4. Step 4: Simplify right side
    8,542.48x = 59,013,146.94
  5. Step 5: Solve for x
    x = 59,013,146.94/8,542.48
  6. Step 6: Final answer
    x = 6,908.20

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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.