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Finding the Fourth Proportional to 11,136.84, 16,705.26 and 3,345.66

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Solution

The fourth proportional to 11,136.84, 16,705.26 and 3,345.66 is: 5,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.84 : 16,705.26 = 3,345.66 : x
  2. Step 2: Convert to fraction form
    11,136.84/16,705.26 = 3,345.66/x
  3. Step 3: Cross multiply
    11,136.84x = 16,705.26 × 3,345.66
  4. Step 4: Simplify right side
    11,136.84x = 55,890,120.17
  5. Step 5: Solve for x
    x = 55,890,120.17/11,136.84
  6. Step 6: Final answer
    x = 5,018.49

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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.