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Finding the Fourth Proportional to 11,407.14, 17,111.70 and 4,388.85

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Solution

The fourth proportional to 11,407.14, 17,111.70 and 4,388.85 is: 6,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.14 : 17,111.70 = 4,388.85 : x
  2. Step 2: Convert to fraction form
    11,407.14/17,111.70 = 4,388.85/x
  3. Step 3: Cross multiply
    11,407.14x = 17,111.70 × 4,388.85
  4. Step 4: Simplify right side
    11,407.14x = 75,100,684.55
  5. Step 5: Solve for x
    x = 75,100,684.55/11,407.14
  6. Step 6: Final answer
    x = 6,583.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.