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Finding the Fourth Proportional to 7,181.89, 9,910.81 and 4,038.28

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Solution

The fourth proportional to 7,181.89, 9,910.81 and 4,038.28 is: 5,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.89 : 9,910.81 = 4,038.28 : x
  2. Step 2: Convert to fraction form
    7,181.89/9,910.81 = 4,038.28/x
  3. Step 3: Cross multiply
    7,181.89x = 9,910.81 × 4,038.28
  4. Step 4: Simplify right side
    7,181.89x = 40,022,625.81
  5. Step 5: Solve for x
    x = 40,022,625.81/7,181.89
  6. Step 6: Final answer
    x = 5,572.71

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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.