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Finding the Fourth Proportional to 8,323.87, 11,486.76 and 4,546.93

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Solution

The fourth proportional to 8,323.87, 11,486.76 and 4,546.93 is: 6,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.87 : 11,486.76 = 4,546.93 : x
  2. Step 2: Convert to fraction form
    8,323.87/11,486.76 = 4,546.93/x
  3. Step 3: Cross multiply
    8,323.87x = 11,486.76 × 4,546.93
  4. Step 4: Simplify right side
    8,323.87x = 52,229,493.65
  5. Step 5: Solve for x
    x = 52,229,493.65/8,323.87
  6. Step 6: Final answer
    x = 6,274.66

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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.