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Finding the Fourth Proportional to 10,120.52, 13,965.66 and 5,644.01

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Solution

The fourth proportional to 10,120.52, 13,965.66 and 5,644.01 is: 7,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.52 : 13,965.66 = 5,644.01 : x
  2. Step 2: Convert to fraction form
    10,120.52/13,965.66 = 5,644.01/x
  3. Step 3: Cross multiply
    10,120.52x = 13,965.66 × 5,644.01
  4. Step 4: Simplify right side
    10,120.52x = 78,822,324.70
  5. Step 5: Solve for x
    x = 78,822,324.70/10,120.52
  6. Step 6: Final answer
    x = 7,788.37

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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.