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Finding the Fourth Proportional to 10,224.96, 15,340.68 and 3,651

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Solution

The fourth proportional to 10,224.96, 15,340.68 and 3,651 is: 5,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.96 : 15,340.68 = 3,651 : x
  2. Step 2: Convert to fraction form
    10,224.96/15,340.68 = 3,651/x
  3. Step 3: Cross multiply
    10,224.96x = 15,340.68 × 3,651
  4. Step 4: Simplify right side
    10,224.96x = 56,008,822.68
  5. Step 5: Solve for x
    x = 56,008,822.68/10,224.96
  6. Step 6: Final answer
    x = 5,477.66

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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.