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Finding the Fourth Proportional to 8,309.08, 11,458.83 and 6,189.81

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Solution

The fourth proportional to 8,309.08, 11,458.83 and 6,189.81 is: 8,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.08 : 11,458.83 = 6,189.81 : x
  2. Step 2: Convert to fraction form
    8,309.08/11,458.83 = 6,189.81/x
  3. Step 3: Cross multiply
    8,309.08x = 11,458.83 × 6,189.81
  4. Step 4: Simplify right side
    8,309.08x = 70,927,980.52
  5. Step 5: Solve for x
    x = 70,927,980.52/8,309.08
  6. Step 6: Final answer
    x = 8,536.20

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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.