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Finding the Fourth Proportional to 11,076.51, 16,611.93 and 3,283.50

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Solution

The fourth proportional to 11,076.51, 16,611.93 and 3,283.50 is: 4,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.51 : 16,611.93 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    11,076.51/16,611.93 = 3,283.50/x
  3. Step 3: Cross multiply
    11,076.51x = 16,611.93 × 3,283.50
  4. Step 4: Simplify right side
    11,076.51x = 54,545,272.16
  5. Step 5: Solve for x
    x = 54,545,272.16/11,076.51
  6. Step 6: Final answer
    x = 4,924.41

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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.