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Finding the Fourth Proportional to 10,004.22, 14,994.35 and 4,660.20

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Solution

The fourth proportional to 10,004.22, 14,994.35 and 4,660.20 is: 6,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.22 : 14,994.35 = 4,660.20 : x
  2. Step 2: Convert to fraction form
    10,004.22/14,994.35 = 4,660.20/x
  3. Step 3: Cross multiply
    10,004.22x = 14,994.35 × 4,660.20
  4. Step 4: Simplify right side
    10,004.22x = 69,876,571.60
  5. Step 5: Solve for x
    x = 69,876,571.60/10,004.22
  6. Step 6: Final answer
    x = 6,984.71

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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.