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Finding the Fourth Proportional to 12,011.46, 18,004.64 and 4,111.64

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Solution

The fourth proportional to 12,011.46, 18,004.64 and 4,111.64 is: 6,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.46 : 18,004.64 = 4,111.64 : x
  2. Step 2: Convert to fraction form
    12,011.46/18,004.64 = 4,111.64/x
  3. Step 3: Cross multiply
    12,011.46x = 18,004.64 × 4,111.64
  4. Step 4: Simplify right side
    12,011.46x = 74,028,487.43
  5. Step 5: Solve for x
    x = 74,028,487.43/12,011.46
  6. Step 6: Final answer
    x = 6,163.15

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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.