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Finding the Fourth Proportional to 10,457.37, 15,687.81 and 3,530.25

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Solution

The fourth proportional to 10,457.37, 15,687.81 and 3,530.25 is: 5,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.37 : 15,687.81 = 3,530.25 : x
  2. Step 2: Convert to fraction form
    10,457.37/15,687.81 = 3,530.25/x
  3. Step 3: Cross multiply
    10,457.37x = 15,687.81 × 3,530.25
  4. Step 4: Simplify right side
    10,457.37x = 55,381,891.25
  5. Step 5: Solve for x
    x = 55,381,891.25/10,457.37
  6. Step 6: Final answer
    x = 5,295.97

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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.