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Finding the Fourth Proportional to 10,021.05, 13,828.05 and 5,544.69

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Solution

The fourth proportional to 10,021.05, 13,828.05 and 5,544.69 is: 7,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.05 : 13,828.05 = 5,544.69 : x
  2. Step 2: Convert to fraction form
    10,021.05/13,828.05 = 5,544.69/x
  3. Step 3: Cross multiply
    10,021.05x = 13,828.05 × 5,544.69
  4. Step 4: Simplify right side
    10,021.05x = 76,672,219.49
  5. Step 5: Solve for x
    x = 76,672,219.49/10,021.05
  6. Step 6: Final answer
    x = 7,651.12

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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.