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Finding the Fourth Proportional to 8,303.22, 11,459.25 and 6,203.70

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Solution

The fourth proportional to 8,303.22, 11,459.25 and 6,203.70 is: 8,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.22 : 11,459.25 = 6,203.70 : x
  2. Step 2: Convert to fraction form
    8,303.22/11,459.25 = 6,203.70/x
  3. Step 3: Cross multiply
    8,303.22x = 11,459.25 × 6,203.70
  4. Step 4: Simplify right side
    8,303.22x = 71,089,749.23
  5. Step 5: Solve for x
    x = 71,089,749.23/8,303.22
  6. Step 6: Final answer
    x = 8,561.71

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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.