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Finding the Fourth Proportional to 7,002.09, 10,505.02 and 2,844.99

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Solution

The fourth proportional to 7,002.09, 10,505.02 and 2,844.99 is: 4,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.09 : 10,505.02 = 2,844.99 : x
  2. Step 2: Convert to fraction form
    7,002.09/10,505.02 = 2,844.99/x
  3. Step 3: Cross multiply
    7,002.09x = 10,505.02 × 2,844.99
  4. Step 4: Simplify right side
    7,002.09x = 29,886,676.85
  5. Step 5: Solve for x
    x = 29,886,676.85/7,002.09
  6. Step 6: Final answer
    x = 4,268.25

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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.