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Finding the Fourth Proportional to 11,842.56, 17,762.76 and 4,050.48

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Solution

The fourth proportional to 11,842.56, 17,762.76 and 4,050.48 is: 6,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.56 : 17,762.76 = 4,050.48 : x
  2. Step 2: Convert to fraction form
    11,842.56/17,762.76 = 4,050.48/x
  3. Step 3: Cross multiply
    11,842.56x = 17,762.76 × 4,050.48
  4. Step 4: Simplify right side
    11,842.56x = 71,947,704.12
  5. Step 5: Solve for x
    x = 71,947,704.12/11,842.56
  6. Step 6: Final answer
    x = 6,075.35

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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.