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Finding the Fourth Proportional to 10,625.67, 14,664.24 and 5,910.30

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Solution

The fourth proportional to 10,625.67, 14,664.24 and 5,910.30 is: 8,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.67 : 14,664.24 = 5,910.30 : x
  2. Step 2: Convert to fraction form
    10,625.67/14,664.24 = 5,910.30/x
  3. Step 3: Cross multiply
    10,625.67x = 14,664.24 × 5,910.30
  4. Step 4: Simplify right side
    10,625.67x = 86,670,057.67
  5. Step 5: Solve for x
    x = 86,670,057.67/10,625.67
  6. Step 6: Final answer
    x = 8,156.67

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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.