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Finding the Fourth Proportional to 11,785.52, 17,664.06 and 5,204.24

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Solution

The fourth proportional to 11,785.52, 17,664.06 and 5,204.24 is: 7,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.52 : 17,664.06 = 5,204.24 : x
  2. Step 2: Convert to fraction form
    11,785.52/17,664.06 = 5,204.24/x
  3. Step 3: Cross multiply
    11,785.52x = 17,664.06 × 5,204.24
  4. Step 4: Simplify right side
    11,785.52x = 91,928,007.61
  5. Step 5: Solve for x
    x = 91,928,007.61/11,785.52
  6. Step 6: Final answer
    x = 7,800.08

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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.