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Finding the Fourth Proportional to 8,674.84, 11,971.30 and 4,696

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Solution

The fourth proportional to 8,674.84, 11,971.30 and 4,696 is: 6,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.84 : 11,971.30 = 4,696 : x
  2. Step 2: Convert to fraction form
    8,674.84/11,971.30 = 4,696/x
  3. Step 3: Cross multiply
    8,674.84x = 11,971.30 × 4,696
  4. Step 4: Simplify right side
    8,674.84x = 56,217,224.80
  5. Step 5: Solve for x
    x = 56,217,224.80/8,674.84
  6. Step 6: Final answer
    x = 6,480.49

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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.