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Finding the Fourth Proportional to 10,621.88, 14,658 and 5,906.12

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Solution

The fourth proportional to 10,621.88, 14,658 and 5,906.12 is: 8,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.88 : 14,658 = 5,906.12 : x
  2. Step 2: Convert to fraction form
    10,621.88/14,658 = 5,906.12/x
  3. Step 3: Cross multiply
    10,621.88x = 14,658 × 5,906.12
  4. Step 4: Simplify right side
    10,621.88x = 86,571,906.96
  5. Step 5: Solve for x
    x = 86,571,906.96/10,621.88
  6. Step 6: Final answer
    x = 8,150.34

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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.