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Finding the Fourth Proportional to 11,840.42, 17,763.08 and 4,049.84

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Solution

The fourth proportional to 11,840.42, 17,763.08 and 4,049.84 is: 6,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.42 : 17,763.08 = 4,049.84 : x
  2. Step 2: Convert to fraction form
    11,840.42/17,763.08 = 4,049.84/x
  3. Step 3: Cross multiply
    11,840.42x = 17,763.08 × 4,049.84
  4. Step 4: Simplify right side
    11,840.42x = 71,937,656.07
  5. Step 5: Solve for x
    x = 71,937,656.07/11,840.42
  6. Step 6: Final answer
    x = 6,075.60

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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.