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Finding the Fourth Proportional to 11,457, 17,192.16 and 5,301

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Solution

The fourth proportional to 11,457, 17,192.16 and 5,301 is: 7,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 17,192.16 = 5,301 : x
  2. Step 2: Convert to fraction form
    11,457/17,192.16 = 5,301/x
  3. Step 3: Cross multiply
    11,457x = 17,192.16 × 5,301
  4. Step 4: Simplify right side
    11,457x = 91,135,640.16
  5. Step 5: Solve for x
    x = 91,135,640.16/11,457
  6. Step 6: Final answer
    x = 7,954.58

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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.