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Finding the Fourth Proportional to 11,648.34, 16,072.57 and 6,869.78

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Solution

The fourth proportional to 11,648.34, 16,072.57 and 6,869.78 is: 9,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.34 : 16,072.57 = 6,869.78 : x
  2. Step 2: Convert to fraction form
    11,648.34/16,072.57 = 6,869.78/x
  3. Step 3: Cross multiply
    11,648.34x = 16,072.57 × 6,869.78
  4. Step 4: Simplify right side
    11,648.34x = 110,415,042.94
  5. Step 5: Solve for x
    x = 110,415,042.94/11,648.34
  6. Step 6: Final answer
    x = 9,479.04

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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.