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Finding the Fourth Proportional to 11,046.46, 16,570.76 and 3,149.32

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Solution

The fourth proportional to 11,046.46, 16,570.76 and 3,149.32 is: 4,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.46 : 16,570.76 = 3,149.32 : x
  2. Step 2: Convert to fraction form
    11,046.46/16,570.76 = 3,149.32/x
  3. Step 3: Cross multiply
    11,046.46x = 16,570.76 × 3,149.32
  4. Step 4: Simplify right side
    11,046.46x = 52,186,625.88
  5. Step 5: Solve for x
    x = 52,186,625.88/11,046.46
  6. Step 6: Final answer
    x = 4,724.29

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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.