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Finding the Fourth Proportional to 10,649.64, 15,965.82 and 3,723.24

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Solution

The fourth proportional to 10,649.64, 15,965.82 and 3,723.24 is: 5,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.64 : 15,965.82 = 3,723.24 : x
  2. Step 2: Convert to fraction form
    10,649.64/15,965.82 = 3,723.24/x
  3. Step 3: Cross multiply
    10,649.64x = 15,965.82 × 3,723.24
  4. Step 4: Simplify right side
    10,649.64x = 59,444,579.66
  5. Step 5: Solve for x
    x = 59,444,579.66/10,649.64
  6. Step 6: Final answer
    x = 5,581.84

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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.