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Finding the Fourth Proportional to 11,533.05, 17,302 and 3,741.25

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Solution

The fourth proportional to 11,533.05, 17,302 and 3,741.25 is: 5,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.05 : 17,302 = 3,741.25 : x
  2. Step 2: Convert to fraction form
    11,533.05/17,302 = 3,741.25/x
  3. Step 3: Cross multiply
    11,533.05x = 17,302 × 3,741.25
  4. Step 4: Simplify right side
    11,533.05x = 64,731,107.50
  5. Step 5: Solve for x
    x = 64,731,107.50/11,533.05
  6. Step 6: Final answer
    x = 5,612.66

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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.