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Finding the Fourth Proportional to 10,556.70, 14,554.17 and 8,439.90

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Solution

The fourth proportional to 10,556.70, 14,554.17 and 8,439.90 is: 11,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.70 : 14,554.17 = 8,439.90 : x
  2. Step 2: Convert to fraction form
    10,556.70/14,554.17 = 8,439.90/x
  3. Step 3: Cross multiply
    10,556.70x = 14,554.17 × 8,439.90
  4. Step 4: Simplify right side
    10,556.70x = 122,835,739.38
  5. Step 5: Solve for x
    x = 122,835,739.38/10,556.70
  6. Step 6: Final answer
    x = 11,635.81

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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.