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Finding the Fourth Proportional to 11,773.36, 17,649.96 and 4,749.04

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Solution

The fourth proportional to 11,773.36, 17,649.96 and 4,749.04 is: 7,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.36 : 17,649.96 = 4,749.04 : x
  2. Step 2: Convert to fraction form
    11,773.36/17,649.96 = 4,749.04/x
  3. Step 3: Cross multiply
    11,773.36x = 17,649.96 × 4,749.04
  4. Step 4: Simplify right side
    11,773.36x = 83,820,366.04
  5. Step 5: Solve for x
    x = 83,820,366.04/11,773.36
  6. Step 6: Final answer
    x = 7,119.49

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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.