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Finding the Fourth Proportional to 10,289.34, 14,199.09 and 5,812.77

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Solution

The fourth proportional to 10,289.34, 14,199.09 and 5,812.77 is: 8,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.34 : 14,199.09 = 5,812.77 : x
  2. Step 2: Convert to fraction form
    10,289.34/14,199.09 = 5,812.77/x
  3. Step 3: Cross multiply
    10,289.34x = 14,199.09 × 5,812.77
  4. Step 4: Simplify right side
    10,289.34x = 82,536,044.38
  5. Step 5: Solve for x
    x = 82,536,044.38/10,289.34
  6. Step 6: Final answer
    x = 8,021.51

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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.