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Finding the Fourth Proportional to 10,953.94, 16,415.49 and 6,266.92

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Solution

The fourth proportional to 10,953.94, 16,415.49 and 6,266.92 is: 9,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.94 : 16,415.49 = 6,266.92 : x
  2. Step 2: Convert to fraction form
    10,953.94/16,415.49 = 6,266.92/x
  3. Step 3: Cross multiply
    10,953.94x = 16,415.49 × 6,266.92
  4. Step 4: Simplify right side
    10,953.94x = 102,874,562.59
  5. Step 5: Solve for x
    x = 102,874,562.59/10,953.94
  6. Step 6: Final answer
    x = 9,391.56

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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.