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Finding the Fourth Proportional to 7,164.92, 10,741.88 and 3,266.60

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Solution

The fourth proportional to 7,164.92, 10,741.88 and 3,266.60 is: 4,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.92 : 10,741.88 = 3,266.60 : x
  2. Step 2: Convert to fraction form
    7,164.92/10,741.88 = 3,266.60/x
  3. Step 3: Cross multiply
    7,164.92x = 10,741.88 × 3,266.60
  4. Step 4: Simplify right side
    7,164.92x = 35,089,379.67
  5. Step 5: Solve for x
    x = 35,089,379.67/7,164.92
  6. Step 6: Final answer
    x = 4,897.38

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Why These Related Problems?

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