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Finding the Fourth Proportional to 8,540.58, 11,785.86 and 4,764

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Solution

The fourth proportional to 8,540.58, 11,785.86 and 4,764 is: 6,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.58 : 11,785.86 = 4,764 : x
  2. Step 2: Convert to fraction form
    8,540.58/11,785.86 = 4,764/x
  3. Step 3: Cross multiply
    8,540.58x = 11,785.86 × 4,764
  4. Step 4: Simplify right side
    8,540.58x = 56,147,837.04
  5. Step 5: Solve for x
    x = 56,147,837.04/8,540.58
  6. Step 6: Final answer
    x = 6,574.24

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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.