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Finding the Fourth Proportional to 8,282.60, 12,415.80 and 4,119.20

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Solution

The fourth proportional to 8,282.60, 12,415.80 and 4,119.20 is: 6,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.60 : 12,415.80 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    8,282.60/12,415.80 = 4,119.20/x
  3. Step 3: Cross multiply
    8,282.60x = 12,415.80 × 4,119.20
  4. Step 4: Simplify right side
    8,282.60x = 51,143,163.36
  5. Step 5: Solve for x
    x = 51,143,163.36/8,282.60
  6. Step 6: Final answer
    x = 6,174.77

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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.