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Finding the Fourth Proportional to 8,366.93, 11,546.70 and 5,009.07

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Solution

The fourth proportional to 8,366.93, 11,546.70 and 5,009.07 is: 6,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.93 : 11,546.70 = 5,009.07 : x
  2. Step 2: Convert to fraction form
    8,366.93/11,546.70 = 5,009.07/x
  3. Step 3: Cross multiply
    8,366.93x = 11,546.70 × 5,009.07
  4. Step 4: Simplify right side
    8,366.93x = 57,838,281.26
  5. Step 5: Solve for x
    x = 57,838,281.26/8,366.93
  6. Step 6: Final answer
    x = 6,912.73

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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.