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Finding the Fourth Proportional to 7,029.75, 10,544.64 and 2,099.00

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Solution

The fourth proportional to 7,029.75, 10,544.64 and 2,099.00 is: 3,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.75 : 10,544.64 = 2,099.00 : x
  2. Step 2: Convert to fraction form
    7,029.75/10,544.64 = 2,099.00/x
  3. Step 3: Cross multiply
    7,029.75x = 10,544.64 × 2,099.00
  4. Step 4: Simplify right side
    7,029.75x = 22,133,241.53
  5. Step 5: Solve for x
    x = 22,133,241.53/7,029.75
  6. Step 6: Final answer
    x = 3,148.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.