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Finding the Fourth Proportional to 11,252.98, 16,881.72 and 3,461.50

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Solution

The fourth proportional to 11,252.98, 16,881.72 and 3,461.50 is: 5,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.98 : 16,881.72 = 3,461.50 : x
  2. Step 2: Convert to fraction form
    11,252.98/16,881.72 = 3,461.50/x
  3. Step 3: Cross multiply
    11,252.98x = 16,881.72 × 3,461.50
  4. Step 4: Simplify right side
    11,252.98x = 58,436,073.78
  5. Step 5: Solve for x
    x = 58,436,073.78/11,252.98
  6. Step 6: Final answer
    x = 5,192.94

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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.