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Finding the Fourth Proportional to 11,667.52, 17,486.16 and 4,738.24

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Solution

The fourth proportional to 11,667.52, 17,486.16 and 4,738.24 is: 7,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.52 : 17,486.16 = 4,738.24 : x
  2. Step 2: Convert to fraction form
    11,667.52/17,486.16 = 4,738.24/x
  3. Step 3: Cross multiply
    11,667.52x = 17,486.16 × 4,738.24
  4. Step 4: Simplify right side
    11,667.52x = 82,853,622.76
  5. Step 5: Solve for x
    x = 82,853,622.76/11,667.52
  6. Step 6: Final answer
    x = 7,101.22

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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.