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Finding the Fourth Proportional to 10,334.81, 15,502.23 and 2,543.63

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Solution

The fourth proportional to 10,334.81, 15,502.23 and 2,543.63 is: 3,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.81 : 15,502.23 = 2,543.63 : x
  2. Step 2: Convert to fraction form
    10,334.81/15,502.23 = 2,543.63/x
  3. Step 3: Cross multiply
    10,334.81x = 15,502.23 × 2,543.63
  4. Step 4: Simplify right side
    10,334.81x = 39,431,859.78
  5. Step 5: Solve for x
    x = 39,431,859.78/10,334.81
  6. Step 6: Final answer
    x = 3,815.44

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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.