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Finding the Fourth Proportional to 8,090.32, 12,125.22 and 3,643.24

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Solution

The fourth proportional to 8,090.32, 12,125.22 and 3,643.24 is: 5,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.32 : 12,125.22 = 3,643.24 : x
  2. Step 2: Convert to fraction form
    8,090.32/12,125.22 = 3,643.24/x
  3. Step 3: Cross multiply
    8,090.32x = 12,125.22 × 3,643.24
  4. Step 4: Simplify right side
    8,090.32x = 44,175,086.51
  5. Step 5: Solve for x
    x = 44,175,086.51/8,090.32
  6. Step 6: Final answer
    x = 5,460.24

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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.