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Finding the Fourth Proportional to 8,317.81, 11,478.39 and 4,540.83

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Solution

The fourth proportional to 8,317.81, 11,478.39 and 4,540.83 is: 6,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.81 : 11,478.39 = 4,540.83 : x
  2. Step 2: Convert to fraction form
    8,317.81/11,478.39 = 4,540.83/x
  3. Step 3: Cross multiply
    8,317.81x = 11,478.39 × 4,540.83
  4. Step 4: Simplify right side
    8,317.81x = 52,121,434.69
  5. Step 5: Solve for x
    x = 52,121,434.69/8,317.81
  6. Step 6: Final answer
    x = 6,266.24

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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.