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Finding the Fourth Proportional to 8,184.26, 11,293.88 and 4,647

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Solution

The fourth proportional to 8,184.26, 11,293.88 and 4,647 is: 6,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.26 : 11,293.88 = 4,647 : x
  2. Step 2: Convert to fraction form
    8,184.26/11,293.88 = 4,647/x
  3. Step 3: Cross multiply
    8,184.26x = 11,293.88 × 4,647
  4. Step 4: Simplify right side
    8,184.26x = 52,482,660.36
  5. Step 5: Solve for x
    x = 52,482,660.36/8,184.26
  6. Step 6: Final answer
    x = 6,412.63

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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.