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Finding the Fourth Proportional to 10,029.15, 13,840.07 and 5,552.96

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Solution

The fourth proportional to 10,029.15, 13,840.07 and 5,552.96 is: 7,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.15 : 13,840.07 = 5,552.96 : x
  2. Step 2: Convert to fraction form
    10,029.15/13,840.07 = 5,552.96/x
  3. Step 3: Cross multiply
    10,029.15x = 13,840.07 × 5,552.96
  4. Step 4: Simplify right side
    10,029.15x = 76,853,258.14
  5. Step 5: Solve for x
    x = 76,853,258.14/10,029.15
  6. Step 6: Final answer
    x = 7,662.99

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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.