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Finding the Fourth Proportional to 11,503.65, 17,255.48 and 9,754.05

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Solution

The fourth proportional to 11,503.65, 17,255.48 and 9,754.05 is: 14,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.65 : 17,255.48 = 9,754.05 : x
  2. Step 2: Convert to fraction form
    11,503.65/17,255.48 = 9,754.05/x
  3. Step 3: Cross multiply
    11,503.65x = 17,255.48 × 9,754.05
  4. Step 4: Simplify right side
    11,503.65x = 168,310,765.92
  5. Step 5: Solve for x
    x = 168,310,765.92/11,503.65
  6. Step 6: Final answer
    x = 14,631.08

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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.