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Finding the Fourth Proportional to 11,840.46, 17,760.77 and 3,075.39

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Solution

The fourth proportional to 11,840.46, 17,760.77 and 3,075.39 is: 4,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.46 : 17,760.77 = 3,075.39 : x
  2. Step 2: Convert to fraction form
    11,840.46/17,760.77 = 3,075.39/x
  3. Step 3: Cross multiply
    11,840.46x = 17,760.77 × 3,075.39
  4. Step 4: Simplify right side
    11,840.46x = 54,621,279.07
  5. Step 5: Solve for x
    x = 54,621,279.07/11,840.46
  6. Step 6: Final answer
    x = 4,613.10

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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.