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Finding the Fourth Proportional to 11,475.70, 17,199.20 and 4,894.20

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Solution

The fourth proportional to 11,475.70, 17,199.20 and 4,894.20 is: 7,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.70 : 17,199.20 = 4,894.20 : x
  2. Step 2: Convert to fraction form
    11,475.70/17,199.20 = 4,894.20/x
  3. Step 3: Cross multiply
    11,475.70x = 17,199.20 × 4,894.20
  4. Step 4: Simplify right side
    11,475.70x = 84,176,324.64
  5. Step 5: Solve for x
    x = 84,176,324.64/11,475.70
  6. Step 6: Final answer
    x = 7,335.18

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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.