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Finding the Fourth Proportional to 6,094.12, 8,403.60 and 5,212.84

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Solution

The fourth proportional to 6,094.12, 8,403.60 and 5,212.84 is: 7,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.12 : 8,403.60 = 5,212.84 : x
  2. Step 2: Convert to fraction form
    6,094.12/8,403.60 = 5,212.84/x
  3. Step 3: Cross multiply
    6,094.12x = 8,403.60 × 5,212.84
  4. Step 4: Simplify right side
    6,094.12x = 43,806,622.22
  5. Step 5: Solve for x
    x = 43,806,622.22/6,094.12
  6. Step 6: Final answer
    x = 7,188.34

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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.