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Finding the Fourth Proportional to 11,378.01, 17,056.50 and 7,205.39

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Solution

The fourth proportional to 11,378.01, 17,056.50 and 7,205.39 is: 10,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.01 : 17,056.50 = 7,205.39 : x
  2. Step 2: Convert to fraction form
    11,378.01/17,056.50 = 7,205.39/x
  3. Step 3: Cross multiply
    11,378.01x = 17,056.50 × 7,205.39
  4. Step 4: Simplify right side
    11,378.01x = 122,898,649.25
  5. Step 5: Solve for x
    x = 122,898,649.25/11,378.01
  6. Step 6: Final answer
    x = 10,801.42

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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.