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Finding the Fourth Proportional to 11,880, 16,379.48 and 7,623.55

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Solution

The fourth proportional to 11,880, 16,379.48 and 7,623.55 is: 10,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 16,379.48 = 7,623.55 : x
  2. Step 2: Convert to fraction form
    11,880/16,379.48 = 7,623.55/x
  3. Step 3: Cross multiply
    11,880x = 16,379.48 × 7,623.55
  4. Step 4: Simplify right side
    11,880x = 124,869,824.29
  5. Step 5: Solve for x
    x = 124,869,824.29/11,880
  6. Step 6: Final answer
    x = 10,510.93

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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.