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Finding the Fourth Proportional to 8,366.97, 11,546.58 and 5,009.93

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Solution

The fourth proportional to 8,366.97, 11,546.58 and 5,009.93 is: 6,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.97 : 11,546.58 = 5,009.93 : x
  2. Step 2: Convert to fraction form
    8,366.97/11,546.58 = 5,009.93/x
  3. Step 3: Cross multiply
    8,366.97x = 11,546.58 × 5,009.93
  4. Step 4: Simplify right side
    8,366.97x = 57,847,499.81
  5. Step 5: Solve for x
    x = 57,847,499.81/8,366.97
  6. Step 6: Final answer
    x = 6,913.79

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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.