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Finding the Fourth Proportional to 11,300.50, 16,954.85 and 10,390.16

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Solution

The fourth proportional to 11,300.50, 16,954.85 and 10,390.16 is: 15,589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.50 : 16,954.85 = 10,390.16 : x
  2. Step 2: Convert to fraction form
    11,300.50/16,954.85 = 10,390.16/x
  3. Step 3: Cross multiply
    11,300.50x = 16,954.85 × 10,390.16
  4. Step 4: Simplify right side
    11,300.50x = 176,163,604.28
  5. Step 5: Solve for x
    x = 176,163,604.28/11,300.50
  6. Step 6: Final answer
    x = 15,589.01

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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.