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Finding the Fourth Proportional to 11,649.96, 17,462.35 and 5,719.93

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Solution

The fourth proportional to 11,649.96, 17,462.35 and 5,719.93 is: 8,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.96 : 17,462.35 = 5,719.93 : x
  2. Step 2: Convert to fraction form
    11,649.96/17,462.35 = 5,719.93/x
  3. Step 3: Cross multiply
    11,649.96x = 17,462.35 × 5,719.93
  4. Step 4: Simplify right side
    11,649.96x = 99,883,419.64
  5. Step 5: Solve for x
    x = 99,883,419.64/11,649.96
  6. Step 6: Final answer
    x = 8,573.71

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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.