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Finding the Fourth Proportional to 10,576.84, 14,596.14 and 5,861.56

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Solution

The fourth proportional to 10,576.84, 14,596.14 and 5,861.56 is: 8,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.84 : 14,596.14 = 5,861.56 : x
  2. Step 2: Convert to fraction form
    10,576.84/14,596.14 = 5,861.56/x
  3. Step 3: Cross multiply
    10,576.84x = 14,596.14 × 5,861.56
  4. Step 4: Simplify right side
    10,576.84x = 85,556,150.38
  5. Step 5: Solve for x
    x = 85,556,150.38/10,576.84
  6. Step 6: Final answer
    x = 8,089.01

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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.