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Finding the Fourth Proportional to 11,840.88, 17,762.20 and 3,075.84

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Solution

The fourth proportional to 11,840.88, 17,762.20 and 3,075.84 is: 4,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.88 : 17,762.20 = 3,075.84 : x
  2. Step 2: Convert to fraction form
    11,840.88/17,762.20 = 3,075.84/x
  3. Step 3: Cross multiply
    11,840.88x = 17,762.20 × 3,075.84
  4. Step 4: Simplify right side
    11,840.88x = 54,633,685.25
  5. Step 5: Solve for x
    x = 54,633,685.25/11,840.88
  6. Step 6: Final answer
    x = 4,613.99

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