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Finding the Fourth Proportional to 10,558.70, 14,556.93 and 8,441.90

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Solution

The fourth proportional to 10,558.70, 14,556.93 and 8,441.90 is: 11,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.70 : 14,556.93 = 8,441.90 : x
  2. Step 2: Convert to fraction form
    10,558.70/14,556.93 = 8,441.90/x
  3. Step 3: Cross multiply
    10,558.70x = 14,556.93 × 8,441.90
  4. Step 4: Simplify right side
    10,558.70x = 122,888,147.37
  5. Step 5: Solve for x
    x = 122,888,147.37/10,558.70
  6. Step 6: Final answer
    x = 11,638.57

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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.