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Finding the Fourth Proportional to 11,749.72, 16,212.78 and 7,033

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Solution

The fourth proportional to 11,749.72, 16,212.78 and 7,033 is: 9,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.72 : 16,212.78 = 7,033 : x
  2. Step 2: Convert to fraction form
    11,749.72/16,212.78 = 7,033/x
  3. Step 3: Cross multiply
    11,749.72x = 16,212.78 × 7,033
  4. Step 4: Simplify right side
    11,749.72x = 114,024,481.74
  5. Step 5: Solve for x
    x = 114,024,481.74/11,749.72
  6. Step 6: Final answer
    x = 9,704.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.