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Finding the Fourth Proportional to 8,643.69, 11,928.20 and 5,106.83

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Solution

The fourth proportional to 8,643.69, 11,928.20 and 5,106.83 is: 7,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.69 : 11,928.20 = 5,106.83 : x
  2. Step 2: Convert to fraction form
    8,643.69/11,928.20 = 5,106.83/x
  3. Step 3: Cross multiply
    8,643.69x = 11,928.20 × 5,106.83
  4. Step 4: Simplify right side
    8,643.69x = 60,915,204.43
  5. Step 5: Solve for x
    x = 60,915,204.43/8,643.69
  6. Step 6: Final answer
    x = 7,047.36

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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.