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Finding the Fourth Proportional to 10,006.64, 14,993.76 and 6,099.20

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Solution

The fourth proportional to 10,006.64, 14,993.76 and 6,099.20 is: 9,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.64 : 14,993.76 = 6,099.20 : x
  2. Step 2: Convert to fraction form
    10,006.64/14,993.76 = 6,099.20/x
  3. Step 3: Cross multiply
    10,006.64x = 14,993.76 × 6,099.20
  4. Step 4: Simplify right side
    10,006.64x = 91,449,940.99
  5. Step 5: Solve for x
    x = 91,449,940.99/10,006.64
  6. Step 6: Final answer
    x = 9,138.93

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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.