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Finding the Fourth Proportional to 11,533.50, 17,287.95 and 4,960.20

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Solution

The fourth proportional to 11,533.50, 17,287.95 and 4,960.20 is: 7,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.50 : 17,287.95 = 4,960.20 : x
  2. Step 2: Convert to fraction form
    11,533.50/17,287.95 = 4,960.20/x
  3. Step 3: Cross multiply
    11,533.50x = 17,287.95 × 4,960.20
  4. Step 4: Simplify right side
    11,533.50x = 85,751,689.59
  5. Step 5: Solve for x
    x = 85,751,689.59/11,533.50
  6. Step 6: Final answer
    x = 7,435.01

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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.