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Finding the Fourth Proportional to 11,827.29, 17,762.76 and 7,934.43

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Solution

The fourth proportional to 11,827.29, 17,762.76 and 7,934.43 is: 11,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.29 : 17,762.76 = 7,934.43 : x
  2. Step 2: Convert to fraction form
    11,827.29/17,762.76 = 7,934.43/x
  3. Step 3: Cross multiply
    11,827.29x = 17,762.76 × 7,934.43
  4. Step 4: Simplify right side
    11,827.29x = 140,937,375.83
  5. Step 5: Solve for x
    x = 140,937,375.83/11,827.29
  6. Step 6: Final answer
    x = 11,916.29

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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.