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Finding the Fourth Proportional to 12,056.33, 18,059.64 and 5,797.86

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Solution

The fourth proportional to 12,056.33, 18,059.64 and 5,797.86 is: 8,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.33 : 18,059.64 = 5,797.86 : x
  2. Step 2: Convert to fraction form
    12,056.33/18,059.64 = 5,797.86/x
  3. Step 3: Cross multiply
    12,056.33x = 18,059.64 × 5,797.86
  4. Step 4: Simplify right side
    12,056.33x = 104,707,264.37
  5. Step 5: Solve for x
    x = 104,707,264.37/12,056.33
  6. Step 6: Final answer
    x = 8,684.84

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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.