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Finding the Fourth Proportional to 8,199.41, 11,315.14 and 4,662.63

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Solution

The fourth proportional to 8,199.41, 11,315.14 and 4,662.63 is: 6,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.41 : 11,315.14 = 4,662.63 : x
  2. Step 2: Convert to fraction form
    8,199.41/11,315.14 = 4,662.63/x
  3. Step 3: Cross multiply
    8,199.41x = 11,315.14 × 4,662.63
  4. Step 4: Simplify right side
    8,199.41x = 52,758,311.22
  5. Step 5: Solve for x
    x = 52,758,311.22/8,199.41
  6. Step 6: Final answer
    x = 6,434.40

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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.