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Finding the Fourth Proportional to 11,888.48, 17,823.24 and 5,645.36

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Solution

The fourth proportional to 11,888.48, 17,823.24 and 5,645.36 is: 8,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.48 : 17,823.24 = 5,645.36 : x
  2. Step 2: Convert to fraction form
    11,888.48/17,823.24 = 5,645.36/x
  3. Step 3: Cross multiply
    11,888.48x = 17,823.24 × 5,645.36
  4. Step 4: Simplify right side
    11,888.48x = 100,618,606.17
  5. Step 5: Solve for x
    x = 100,618,606.17/11,888.48
  6. Step 6: Final answer
    x = 8,463.54

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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.