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Finding the Fourth Proportional to 8,184.42, 12,276.54 and 2,990.25

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Solution

The fourth proportional to 8,184.42, 12,276.54 and 2,990.25 is: 4,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.42 : 12,276.54 = 2,990.25 : x
  2. Step 2: Convert to fraction form
    8,184.42/12,276.54 = 2,990.25/x
  3. Step 3: Cross multiply
    8,184.42x = 12,276.54 × 2,990.25
  4. Step 4: Simplify right side
    8,184.42x = 36,709,923.74
  5. Step 5: Solve for x
    x = 36,709,923.74/8,184.42
  6. Step 6: Final answer
    x = 4,485.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.