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Finding the Fourth Proportional to 11,975.20, 17,962.12 and 3,655.12

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Solution

The fourth proportional to 11,975.20, 17,962.12 and 3,655.12 is: 5,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.20 : 17,962.12 = 3,655.12 : x
  2. Step 2: Convert to fraction form
    11,975.20/17,962.12 = 3,655.12/x
  3. Step 3: Cross multiply
    11,975.20x = 17,962.12 × 3,655.12
  4. Step 4: Simplify right side
    11,975.20x = 65,653,704.05
  5. Step 5: Solve for x
    x = 65,653,704.05/11,975.20
  6. Step 6: Final answer
    x = 5,482.47

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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.