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Finding the Fourth Proportional to 11,476.70, 17,200.70 and 4,895.20

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Solution

The fourth proportional to 11,476.70, 17,200.70 and 4,895.20 is: 7,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.70 : 17,200.70 = 4,895.20 : x
  2. Step 2: Convert to fraction form
    11,476.70/17,200.70 = 4,895.20/x
  3. Step 3: Cross multiply
    11,476.70x = 17,200.70 × 4,895.20
  4. Step 4: Simplify right side
    11,476.70x = 84,200,866.64
  5. Step 5: Solve for x
    x = 84,200,866.64/11,476.70
  6. Step 6: Final answer
    x = 7,336.68

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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.