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Finding the Fourth Proportional to 8,308.46, 11,457.97 and 6,189.18

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Solution

The fourth proportional to 8,308.46, 11,457.97 and 6,189.18 is: 8,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.46 : 11,457.97 = 6,189.18 : x
  2. Step 2: Convert to fraction form
    8,308.46/11,457.97 = 6,189.18/x
  3. Step 3: Cross multiply
    8,308.46x = 11,457.97 × 6,189.18
  4. Step 4: Simplify right side
    8,308.46x = 70,915,423.29
  5. Step 5: Solve for x
    x = 70,915,423.29/8,308.46
  6. Step 6: Final answer
    x = 8,535.33

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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.