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Finding the Fourth Proportional to 11,404.40, 17,109.23 and 4,830.84

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Solution

The fourth proportional to 11,404.40, 17,109.23 and 4,830.84 is: 7,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.40 : 17,109.23 = 4,830.84 : x
  2. Step 2: Convert to fraction form
    11,404.40/17,109.23 = 4,830.84/x
  3. Step 3: Cross multiply
    11,404.40x = 17,109.23 × 4,830.84
  4. Step 4: Simplify right side
    11,404.40x = 82,651,928.50
  5. Step 5: Solve for x
    x = 82,651,928.50/11,404.40
  6. Step 6: Final answer
    x = 7,247.38

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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.