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Finding the Fourth Proportional to 10,489.97, 15,741.60 and 9,504.80

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Solution

The fourth proportional to 10,489.97, 15,741.60 and 9,504.80 is: 14,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.97 : 15,741.60 = 9,504.80 : x
  2. Step 2: Convert to fraction form
    10,489.97/15,741.60 = 9,504.80/x
  3. Step 3: Cross multiply
    10,489.97x = 15,741.60 × 9,504.80
  4. Step 4: Simplify right side
    10,489.97x = 149,620,680.97
  5. Step 5: Solve for x
    x = 149,620,680.97/10,489.97
  6. Step 6: Final answer
    x = 14,263.21

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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.