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Finding the Fourth Proportional to 8,199.93, 11,315.86 and 4,843.51

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Solution

The fourth proportional to 8,199.93, 11,315.86 and 4,843.51 is: 6,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.93 : 11,315.86 = 4,843.51 : x
  2. Step 2: Convert to fraction form
    8,199.93/11,315.86 = 4,843.51/x
  3. Step 3: Cross multiply
    8,199.93x = 11,315.86 × 4,843.51
  4. Step 4: Simplify right side
    8,199.93x = 54,808,481.07
  5. Step 5: Solve for x
    x = 54,808,481.07/8,199.93
  6. Step 6: Final answer
    x = 6,684.02

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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.