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Finding the Fourth Proportional to 8,286.69, 12,430.04 and 5,681.73

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Solution

The fourth proportional to 8,286.69, 12,430.04 and 5,681.73 is: 8,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.69 : 12,430.04 = 5,681.73 : x
  2. Step 2: Convert to fraction form
    8,286.69/12,430.04 = 5,681.73/x
  3. Step 3: Cross multiply
    8,286.69x = 12,430.04 × 5,681.73
  4. Step 4: Simplify right side
    8,286.69x = 70,624,102.76
  5. Step 5: Solve for x
    x = 70,624,102.76/8,286.69
  6. Step 6: Final answer
    x = 8,522.60

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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.