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Finding the Fourth Proportional to 10,144.69, 13,998.64 and 5,837.67

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Solution

The fourth proportional to 10,144.69, 13,998.64 and 5,837.67 is: 8,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.69 : 13,998.64 = 5,837.67 : x
  2. Step 2: Convert to fraction form
    10,144.69/13,998.64 = 5,837.67/x
  3. Step 3: Cross multiply
    10,144.69x = 13,998.64 × 5,837.67
  4. Step 4: Simplify right side
    10,144.69x = 81,719,440.77
  5. Step 5: Solve for x
    x = 81,719,440.77/10,144.69
  6. Step 6: Final answer
    x = 8,055.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.