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Finding the Fourth Proportional to 6,383.00, 8,812.70 and 5,941.96

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Solution

The fourth proportional to 6,383.00, 8,812.70 and 5,941.96 is: 8,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.00 : 8,812.70 = 5,941.96 : x
  2. Step 2: Convert to fraction form
    6,383.00/8,812.70 = 5,941.96/x
  3. Step 3: Cross multiply
    6,383.00x = 8,812.70 × 5,941.96
  4. Step 4: Simplify right side
    6,383.00x = 52,364,681.43
  5. Step 5: Solve for x
    x = 52,364,681.43/6,383.00
  6. Step 6: Final answer
    x = 8,203.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.