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Finding the Fourth Proportional to 6,011, 8,294.60 and 3,772.16

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Solution

The fourth proportional to 6,011, 8,294.60 and 3,772.16 is: 5,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011 : 8,294.60 = 3,772.16 : x
  2. Step 2: Convert to fraction form
    6,011/8,294.60 = 3,772.16/x
  3. Step 3: Cross multiply
    6,011x = 8,294.60 × 3,772.16
  4. Step 4: Simplify right side
    6,011x = 31,288,558.34
  5. Step 5: Solve for x
    x = 31,288,558.34/6,011
  6. Step 6: Final answer
    x = 5,205.22

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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.