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Finding the Fourth Proportional to 8,477.41, 12,717.75 and 3,286.93

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Solution

The fourth proportional to 8,477.41, 12,717.75 and 3,286.93 is: 4,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.41 : 12,717.75 = 3,286.93 : x
  2. Step 2: Convert to fraction form
    8,477.41/12,717.75 = 3,286.93/x
  3. Step 3: Cross multiply
    8,477.41x = 12,717.75 × 3,286.93
  4. Step 4: Simplify right side
    8,477.41x = 41,802,354.01
  5. Step 5: Solve for x
    x = 41,802,354.01/8,477.41
  6. Step 6: Final answer
    x = 4,931.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.