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Finding the Fourth Proportional to 10,553.88, 14,564.97 and 5,838.60

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Solution

The fourth proportional to 10,553.88, 14,564.97 and 5,838.60 is: 8,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.88 : 14,564.97 = 5,838.60 : x
  2. Step 2: Convert to fraction form
    10,553.88/14,564.97 = 5,838.60/x
  3. Step 3: Cross multiply
    10,553.88x = 14,564.97 × 5,838.60
  4. Step 4: Simplify right side
    10,553.88x = 85,039,033.84
  5. Step 5: Solve for x
    x = 85,039,033.84/10,553.88
  6. Step 6: Final answer
    x = 8,057.61

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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.