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Finding the Fourth Proportional to 11,671.85, 17,502.62 and 3,349.98

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Solution

The fourth proportional to 11,671.85, 17,502.62 and 3,349.98 is: 5,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.85 : 17,502.62 = 3,349.98 : x
  2. Step 2: Convert to fraction form
    11,671.85/17,502.62 = 3,349.98/x
  3. Step 3: Cross multiply
    11,671.85x = 17,502.62 × 3,349.98
  4. Step 4: Simplify right side
    11,671.85x = 58,633,410.20
  5. Step 5: Solve for x
    x = 58,633,410.20/11,671.85
  6. Step 6: Final answer
    x = 5,023.49

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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.