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Finding the Fourth Proportional to 11,513.78, 15,888.30 and 6,477.38

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Solution

The fourth proportional to 11,513.78, 15,888.30 and 6,477.38 is: 8,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.78 : 15,888.30 = 6,477.38 : x
  2. Step 2: Convert to fraction form
    11,513.78/15,888.30 = 6,477.38/x
  3. Step 3: Cross multiply
    11,513.78x = 15,888.30 × 6,477.38
  4. Step 4: Simplify right side
    11,513.78x = 102,914,556.65
  5. Step 5: Solve for x
    x = 102,914,556.65/11,513.78
  6. Step 6: Final answer
    x = 8,938.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.