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Finding the Fourth Proportional to 11,671.46, 17,502.62 and 4,070.82

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Solution

The fourth proportional to 11,671.46, 17,502.62 and 4,070.82 is: 6,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.46 : 17,502.62 = 4,070.82 : x
  2. Step 2: Convert to fraction form
    11,671.46/17,502.62 = 4,070.82/x
  3. Step 3: Cross multiply
    11,671.46x = 17,502.62 × 4,070.82
  4. Step 4: Simplify right side
    11,671.46x = 71,250,015.55
  5. Step 5: Solve for x
    x = 71,250,015.55/11,671.46
  6. Step 6: Final answer
    x = 6,104.64

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