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Finding the Fourth Proportional to 8,243.40, 11,379.83 and 4,705.93

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Solution

The fourth proportional to 8,243.40, 11,379.83 and 4,705.93 is: 6,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.40 : 11,379.83 = 4,705.93 : x
  2. Step 2: Convert to fraction form
    8,243.40/11,379.83 = 4,705.93/x
  3. Step 3: Cross multiply
    8,243.40x = 11,379.83 × 4,705.93
  4. Step 4: Simplify right side
    8,243.40x = 53,552,683.39
  5. Step 5: Solve for x
    x = 53,552,683.39/8,243.40
  6. Step 6: Final answer
    x = 6,496.43

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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.