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Finding the Fourth Proportional to 8,537.05, 11,785.77 and 5,898.64

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Solution

The fourth proportional to 8,537.05, 11,785.77 and 5,898.64 is: 8,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.05 : 11,785.77 = 5,898.64 : x
  2. Step 2: Convert to fraction form
    8,537.05/11,785.77 = 5,898.64/x
  3. Step 3: Cross multiply
    8,537.05x = 11,785.77 × 5,898.64
  4. Step 4: Simplify right side
    8,537.05x = 69,520,014.35
  5. Step 5: Solve for x
    x = 69,520,014.35/8,537.05
  6. Step 6: Final answer
    x = 8,143.33

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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.