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Finding the Fourth Proportional to 11,262.10, 16,893.24 and 3,470.98

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Solution

The fourth proportional to 11,262.10, 16,893.24 and 3,470.98 is: 5,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.10 : 16,893.24 = 3,470.98 : x
  2. Step 2: Convert to fraction form
    11,262.10/16,893.24 = 3,470.98/x
  3. Step 3: Cross multiply
    11,262.10x = 16,893.24 × 3,470.98
  4. Step 4: Simplify right side
    11,262.10x = 58,636,098.18
  5. Step 5: Solve for x
    x = 58,636,098.18/11,262.10
  6. Step 6: Final answer
    x = 5,206.50

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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.