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Finding the Fourth Proportional to 7,181.96, 9,911.04 and 4,038.17

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Solution

The fourth proportional to 7,181.96, 9,911.04 and 4,038.17 is: 5,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.96 : 9,911.04 = 4,038.17 : x
  2. Step 2: Convert to fraction form
    7,181.96/9,911.04 = 4,038.17/x
  3. Step 3: Cross multiply
    7,181.96x = 9,911.04 × 4,038.17
  4. Step 4: Simplify right side
    7,181.96x = 40,022,464.40
  5. Step 5: Solve for x
    x = 40,022,464.40/7,181.96
  6. Step 6: Final answer
    x = 5,572.64

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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.