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Finding the Fourth Proportional to 8,123.45, 12,185.64 and 2,280.51

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Solution

The fourth proportional to 8,123.45, 12,185.64 and 2,280.51 is: 3,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.45 : 12,185.64 = 2,280.51 : x
  2. Step 2: Convert to fraction form
    8,123.45/12,185.64 = 2,280.51/x
  3. Step 3: Cross multiply
    8,123.45x = 12,185.64 × 2,280.51
  4. Step 4: Simplify right side
    8,123.45x = 27,789,473.88
  5. Step 5: Solve for x
    x = 27,789,473.88/8,123.45
  6. Step 6: Final answer
    x = 3,420.90

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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.