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Finding the Fourth Proportional to 12,057.27, 18,091.10 and 6,509.51

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Solution

The fourth proportional to 12,057.27, 18,091.10 and 6,509.51 is: 9,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.27 : 18,091.10 = 6,509.51 : x
  2. Step 2: Convert to fraction form
    12,057.27/18,091.10 = 6,509.51/x
  3. Step 3: Cross multiply
    12,057.27x = 18,091.10 × 6,509.51
  4. Step 4: Simplify right side
    12,057.27x = 117,764,196.36
  5. Step 5: Solve for x
    x = 117,764,196.36/12,057.27
  6. Step 6: Final answer
    x = 9,767.07

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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.