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Finding the Fourth Proportional to 8,261.08, 12,388.74 and 3,643

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Solution

The fourth proportional to 8,261.08, 12,388.74 and 3,643 is: 5,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.08 : 12,388.74 = 3,643 : x
  2. Step 2: Convert to fraction form
    8,261.08/12,388.74 = 3,643/x
  3. Step 3: Cross multiply
    8,261.08x = 12,388.74 × 3,643
  4. Step 4: Simplify right side
    8,261.08x = 45,132,179.82
  5. Step 5: Solve for x
    x = 45,132,179.82/8,261.08
  6. Step 6: Final answer
    x = 5,463.23

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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.