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Finding the Fourth Proportional to 11,807.42, 17,730.86 and 7,375.39

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Solution

The fourth proportional to 11,807.42, 17,730.86 and 7,375.39 is: 11,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.42 : 17,730.86 = 7,375.39 : x
  2. Step 2: Convert to fraction form
    11,807.42/17,730.86 = 7,375.39/x
  3. Step 3: Cross multiply
    11,807.42x = 17,730.86 × 7,375.39
  4. Step 4: Simplify right side
    11,807.42x = 130,771,926.33
  5. Step 5: Solve for x
    x = 130,771,926.33/11,807.42
  6. Step 6: Final answer
    x = 11,075.41

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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.