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Finding the Fourth Proportional to 8,167.84, 12,239.94 and 5,632.35

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Solution

The fourth proportional to 8,167.84, 12,239.94 and 5,632.35 is: 8,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.84 : 12,239.94 = 5,632.35 : x
  2. Step 2: Convert to fraction form
    8,167.84/12,239.94 = 5,632.35/x
  3. Step 3: Cross multiply
    8,167.84x = 12,239.94 × 5,632.35
  4. Step 4: Simplify right side
    8,167.84x = 68,939,626.06
  5. Step 5: Solve for x
    x = 68,939,626.06/8,167.84
  6. Step 6: Final answer
    x = 8,440.37

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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.