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Finding the Fourth Proportional to 10,489.65, 15,741.11 and 9,504.48

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Solution

The fourth proportional to 10,489.65, 15,741.11 and 9,504.48 is: 14,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.65 : 15,741.11 = 9,504.48 : x
  2. Step 2: Convert to fraction form
    10,489.65/15,741.11 = 9,504.48/x
  3. Step 3: Cross multiply
    10,489.65x = 15,741.11 × 9,504.48
  4. Step 4: Simplify right side
    10,489.65x = 149,611,088.93
  5. Step 5: Solve for x
    x = 149,611,088.93/10,489.65
  6. Step 6: Final answer
    x = 14,262.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.