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Finding the Fourth Proportional to 8,976.50, 12,388 and 5,199.84

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Solution

The fourth proportional to 8,976.50, 12,388 and 5,199.84 is: 7,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.50 : 12,388 = 5,199.84 : x
  2. Step 2: Convert to fraction form
    8,976.50/12,388 = 5,199.84/x
  3. Step 3: Cross multiply
    8,976.50x = 12,388 × 5,199.84
  4. Step 4: Simplify right side
    8,976.50x = 64,415,617.92
  5. Step 5: Solve for x
    x = 64,415,617.92/8,976.50
  6. Step 6: Final answer
    x = 7,176.03

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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.