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Finding the Fourth Proportional to 8,365.75, 11,546.54 and 5,009.31

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Solution

The fourth proportional to 8,365.75, 11,546.54 and 5,009.31 is: 6,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.75 : 11,546.54 = 5,009.31 : x
  2. Step 2: Convert to fraction form
    8,365.75/11,546.54 = 5,009.31/x
  3. Step 3: Cross multiply
    8,365.75x = 11,546.54 × 5,009.31
  4. Step 4: Simplify right side
    8,365.75x = 57,840,198.29
  5. Step 5: Solve for x
    x = 57,840,198.29/8,365.75
  6. Step 6: Final answer
    x = 6,913.93

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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.