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Finding the Fourth Proportional to 6,211.58, 9,316.38 and 5,164.10

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Solution

The fourth proportional to 6,211.58, 9,316.38 and 5,164.10 is: 7,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.58 : 9,316.38 = 5,164.10 : x
  2. Step 2: Convert to fraction form
    6,211.58/9,316.38 = 5,164.10/x
  3. Step 3: Cross multiply
    6,211.58x = 9,316.38 × 5,164.10
  4. Step 4: Simplify right side
    6,211.58x = 48,110,717.96
  5. Step 5: Solve for x
    x = 48,110,717.96/6,211.58
  6. Step 6: Final answer
    x = 7,745.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.