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Finding the Fourth Proportional to 6,137.65, 8,467.06 and 4,148.90

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Solution

The fourth proportional to 6,137.65, 8,467.06 and 4,148.90 is: 5,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.65 : 8,467.06 = 4,148.90 : x
  2. Step 2: Convert to fraction form
    6,137.65/8,467.06 = 4,148.90/x
  3. Step 3: Cross multiply
    6,137.65x = 8,467.06 × 4,148.90
  4. Step 4: Simplify right side
    6,137.65x = 35,128,985.23
  5. Step 5: Solve for x
    x = 35,128,985.23/6,137.65
  6. Step 6: Final answer
    x = 5,723.52

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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.