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Finding the Fourth Proportional to 8,323.72, 11,486.28 and 4,546.83

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Solution

The fourth proportional to 8,323.72, 11,486.28 and 4,546.83 is: 6,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.72 : 11,486.28 = 4,546.83 : x
  2. Step 2: Convert to fraction form
    8,323.72/11,486.28 = 4,546.83/x
  3. Step 3: Cross multiply
    8,323.72x = 11,486.28 × 4,546.83
  4. Step 4: Simplify right side
    8,323.72x = 52,226,162.49
  5. Step 5: Solve for x
    x = 52,226,162.49/8,323.72
  6. Step 6: Final answer
    x = 6,274.38

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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.