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Finding the Fourth Proportional to 8,204.63, 11,318.33 and 5,178.40

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Solution

The fourth proportional to 8,204.63, 11,318.33 and 5,178.40 is: 7,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.63 : 11,318.33 = 5,178.40 : x
  2. Step 2: Convert to fraction form
    8,204.63/11,318.33 = 5,178.40/x
  3. Step 3: Cross multiply
    8,204.63x = 11,318.33 × 5,178.40
  4. Step 4: Simplify right side
    8,204.63x = 58,610,824.72
  5. Step 5: Solve for x
    x = 58,610,824.72/8,204.63
  6. Step 6: Final answer
    x = 7,143.63

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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.