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Finding the Fourth Proportional to 10,556.76, 14,576.94 and 6,781.80

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Solution

The fourth proportional to 10,556.76, 14,576.94 and 6,781.80 is: 9,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.76 : 14,576.94 = 6,781.80 : x
  2. Step 2: Convert to fraction form
    10,556.76/14,576.94 = 6,781.80/x
  3. Step 3: Cross multiply
    10,556.76x = 14,576.94 × 6,781.80
  4. Step 4: Simplify right side
    10,556.76x = 98,857,891.69
  5. Step 5: Solve for x
    x = 98,857,891.69/10,556.76
  6. Step 6: Final answer
    x = 9,364.42

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