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Finding the Fourth Proportional to 13,762.75, 18,995.99 and 7,797.94

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Solution

The fourth proportional to 13,762.75, 18,995.99 and 7,797.94 is: 10,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.75 : 18,995.99 = 7,797.94 : x
  2. Step 2: Convert to fraction form
    13,762.75/18,995.99 = 7,797.94/x
  3. Step 3: Cross multiply
    13,762.75x = 18,995.99 × 7,797.94
  4. Step 4: Simplify right side
    13,762.75x = 148,129,503.78
  5. Step 5: Solve for x
    x = 148,129,503.78/13,762.75
  6. Step 6: Final answer
    x = 10,763.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.