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Finding the Fourth Proportional to 10,017.24, 13,822.29 and 5,710.34

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Solution

The fourth proportional to 10,017.24, 13,822.29 and 5,710.34 is: 7,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.24 : 13,822.29 = 5,710.34 : x
  2. Step 2: Convert to fraction form
    10,017.24/13,822.29 = 5,710.34/x
  3. Step 3: Cross multiply
    10,017.24x = 13,822.29 × 5,710.34
  4. Step 4: Simplify right side
    10,017.24x = 78,929,906.37
  5. Step 5: Solve for x
    x = 78,929,906.37/10,017.24
  6. Step 6: Final answer
    x = 7,879.41

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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.