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Finding the Fourth Proportional to 8,540.85, 11,786.36 and 4,764.02

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Solution

The fourth proportional to 8,540.85, 11,786.36 and 4,764.02 is: 6,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.85 : 11,786.36 = 4,764.02 : x
  2. Step 2: Convert to fraction form
    8,540.85/11,786.36 = 4,764.02/x
  3. Step 3: Cross multiply
    8,540.85x = 11,786.36 × 4,764.02
  4. Step 4: Simplify right side
    8,540.85x = 56,150,454.77
  5. Step 5: Solve for x
    x = 56,150,454.77/8,540.85
  6. Step 6: Final answer
    x = 6,574.34

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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.