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Finding the Fourth Proportional to 11,462.30, 17,195.23 and 4,888.50

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Solution

The fourth proportional to 11,462.30, 17,195.23 and 4,888.50 is: 7,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.30 : 17,195.23 = 4,888.50 : x
  2. Step 2: Convert to fraction form
    11,462.30/17,195.23 = 4,888.50/x
  3. Step 3: Cross multiply
    11,462.30x = 17,195.23 × 4,888.50
  4. Step 4: Simplify right side
    11,462.30x = 84,058,881.86
  5. Step 5: Solve for x
    x = 84,058,881.86/11,462.30
  6. Step 6: Final answer
    x = 7,333.51

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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.