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Finding the Fourth Proportional to 7,190.00, 10,782.29 and 2,508.80

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Solution

The fourth proportional to 7,190.00, 10,782.29 and 2,508.80 is: 3,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.00 : 10,782.29 = 2,508.80 : x
  2. Step 2: Convert to fraction form
    7,190.00/10,782.29 = 2,508.80/x
  3. Step 3: Cross multiply
    7,190.00x = 10,782.29 × 2,508.80
  4. Step 4: Simplify right side
    7,190.00x = 27,050,542.70
  5. Step 5: Solve for x
    x = 27,050,542.70/7,190.00
  6. Step 6: Final answer
    x = 3,762.25

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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.