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Finding the Fourth Proportional to 11,661.84, 17,500.05 and 4,736.34

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Solution

The fourth proportional to 11,661.84, 17,500.05 and 4,736.34 is: 7,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.84 : 17,500.05 = 4,736.34 : x
  2. Step 2: Convert to fraction form
    11,661.84/17,500.05 = 4,736.34/x
  3. Step 3: Cross multiply
    11,661.84x = 17,500.05 × 4,736.34
  4. Step 4: Simplify right side
    11,661.84x = 82,886,186.82
  5. Step 5: Solve for x
    x = 82,886,186.82/11,661.84
  6. Step 6: Final answer
    x = 7,107.47

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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.