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Finding the Fourth Proportional to 7,467.40, 11,186.52 and 4,538.44

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Solution

The fourth proportional to 7,467.40, 11,186.52 and 4,538.44 is: 6,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.40 : 11,186.52 = 4,538.44 : x
  2. Step 2: Convert to fraction form
    7,467.40/11,186.52 = 4,538.44/x
  3. Step 3: Cross multiply
    7,467.40x = 11,186.52 × 4,538.44
  4. Step 4: Simplify right side
    7,467.40x = 50,769,349.83
  5. Step 5: Solve for x
    x = 50,769,349.83/7,467.40
  6. Step 6: Final answer
    x = 6,798.80

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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.