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Finding the Fourth Proportional to 8,323.98, 11,486.58 and 4,546.37

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Solution

The fourth proportional to 8,323.98, 11,486.58 and 4,546.37 is: 6,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.98 : 11,486.58 = 4,546.37 : x
  2. Step 2: Convert to fraction form
    8,323.98/11,486.58 = 4,546.37/x
  3. Step 3: Cross multiply
    8,323.98x = 11,486.58 × 4,546.37
  4. Step 4: Simplify right side
    8,323.98x = 52,222,242.71
  5. Step 5: Solve for x
    x = 52,222,242.71/8,323.98
  6. Step 6: Final answer
    x = 6,273.71

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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.