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Finding the Fourth Proportional to 8,323.54, 11,486.57 and 4,546.81

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Solution

The fourth proportional to 8,323.54, 11,486.57 and 4,546.81 is: 6,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.54 : 11,486.57 = 4,546.81 : x
  2. Step 2: Convert to fraction form
    8,323.54/11,486.57 = 4,546.81/x
  3. Step 3: Cross multiply
    8,323.54x = 11,486.57 × 4,546.81
  4. Step 4: Simplify right side
    8,323.54x = 52,227,251.34
  5. Step 5: Solve for x
    x = 52,227,251.34/8,323.54
  6. Step 6: Final answer
    x = 6,274.64

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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.