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Finding the Fourth Proportional to 8,323.80, 11,486.76 and 4,546.88

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Solution

The fourth proportional to 8,323.80, 11,486.76 and 4,546.88 is: 6,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.80 : 11,486.76 = 4,546.88 : x
  2. Step 2: Convert to fraction form
    8,323.80/11,486.76 = 4,546.88/x
  3. Step 3: Cross multiply
    8,323.80x = 11,486.76 × 4,546.88
  4. Step 4: Simplify right side
    8,323.80x = 52,228,919.31
  5. Step 5: Solve for x
    x = 52,228,919.31/8,323.80
  6. Step 6: Final answer
    x = 6,274.65

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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.