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Finding the Fourth Proportional to 7,015.67, 9,678.28 and 4,181.41

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Solution

The fourth proportional to 7,015.67, 9,678.28 and 4,181.41 is: 5,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.67 : 9,678.28 = 4,181.41 : x
  2. Step 2: Convert to fraction form
    7,015.67/9,678.28 = 4,181.41/x
  3. Step 3: Cross multiply
    7,015.67x = 9,678.28 × 4,181.41
  4. Step 4: Simplify right side
    7,015.67x = 40,468,856.77
  5. Step 5: Solve for x
    x = 40,468,856.77/7,015.67
  6. Step 6: Final answer
    x = 5,768.35

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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.