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Finding the Fourth Proportional to 8,199.15, 11,315.46 and 4,662.69

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Solution

The fourth proportional to 8,199.15, 11,315.46 and 4,662.69 is: 6,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.15 : 11,315.46 = 4,662.69 : x
  2. Step 2: Convert to fraction form
    8,199.15/11,315.46 = 4,662.69/x
  3. Step 3: Cross multiply
    8,199.15x = 11,315.46 × 4,662.69
  4. Step 4: Simplify right side
    8,199.15x = 52,760,482.19
  5. Step 5: Solve for x
    x = 52,760,482.19/8,199.15
  6. Step 6: Final answer
    x = 6,434.87

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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.