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Finding the Fourth Proportional to 11,429.68, 17,213 and 10,058.04

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Solution

The fourth proportional to 11,429.68, 17,213 and 10,058.04 is: 15,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.68 : 17,213 = 10,058.04 : x
  2. Step 2: Convert to fraction form
    11,429.68/17,213 = 10,058.04/x
  3. Step 3: Cross multiply
    11,429.68x = 17,213 × 10,058.04
  4. Step 4: Simplify right side
    11,429.68x = 173,129,042.52
  5. Step 5: Solve for x
    x = 173,129,042.52/11,429.68
  6. Step 6: Final answer
    x = 15,147.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.