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Finding the Fourth Proportional to 7,644.96, 11,468.66 and 3,749.67

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Solution

The fourth proportional to 7,644.96, 11,468.66 and 3,749.67 is: 5,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.96 : 11,468.66 = 3,749.67 : x
  2. Step 2: Convert to fraction form
    7,644.96/11,468.66 = 3,749.67/x
  3. Step 3: Cross multiply
    7,644.96x = 11,468.66 × 3,749.67
  4. Step 4: Simplify right side
    7,644.96x = 43,003,671.59
  5. Step 5: Solve for x
    x = 43,003,671.59/7,644.96
  6. Step 6: Final answer
    x = 5,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.