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Finding the Fourth Proportional to 8,189.28, 11,301.18 and 4,463.28

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Solution

The fourth proportional to 8,189.28, 11,301.18 and 4,463.28 is: 6,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.28 : 11,301.18 = 4,463.28 : x
  2. Step 2: Convert to fraction form
    8,189.28/11,301.18 = 4,463.28/x
  3. Step 3: Cross multiply
    8,189.28x = 11,301.18 × 4,463.28
  4. Step 4: Simplify right side
    8,189.28x = 50,440,330.67
  5. Step 5: Solve for x
    x = 50,440,330.67/8,189.28
  6. Step 6: Final answer
    x = 6,159.31

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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.