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Finding the Fourth Proportional to 6,148.80, 8,474.09 and 4,467.26

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Solution

The fourth proportional to 6,148.80, 8,474.09 and 4,467.26 is: 6,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.80 : 8,474.09 = 4,467.26 : x
  2. Step 2: Convert to fraction form
    6,148.80/8,474.09 = 4,467.26/x
  3. Step 3: Cross multiply
    6,148.80x = 8,474.09 × 4,467.26
  4. Step 4: Simplify right side
    6,148.80x = 37,855,962.14
  5. Step 5: Solve for x
    x = 37,855,962.14/6,148.80
  6. Step 6: Final answer
    x = 6,156.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.