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Finding the Fourth Proportional to 8,644.07, 11,928.71 and 5,107.20

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Solution

The fourth proportional to 8,644.07, 11,928.71 and 5,107.20 is: 7,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.07 : 11,928.71 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    8,644.07/11,928.71 = 5,107.20/x
  3. Step 3: Cross multiply
    8,644.07x = 11,928.71 × 5,107.20
  4. Step 4: Simplify right side
    8,644.07x = 60,922,282.18
  5. Step 5: Solve for x
    x = 60,922,282.18/8,644.07
  6. Step 6: Final answer
    x = 7,047.87

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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.