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Finding the Fourth Proportional to 10,289.70, 14,199.69 and 5,814.90

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Solution

The fourth proportional to 10,289.70, 14,199.69 and 5,814.90 is: 8,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.70 : 14,199.69 = 5,814.90 : x
  2. Step 2: Convert to fraction form
    10,289.70/14,199.69 = 5,814.90/x
  3. Step 3: Cross multiply
    10,289.70x = 14,199.69 × 5,814.90
  4. Step 4: Simplify right side
    10,289.70x = 82,569,777.38
  5. Step 5: Solve for x
    x = 82,569,777.38/10,289.70
  6. Step 6: Final answer
    x = 8,024.51

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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.