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Finding the Fourth Proportional to 10,356.94, 14,293.02 and 5,819.86

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Solution

The fourth proportional to 10,356.94, 14,293.02 and 5,819.86 is: 8,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.94 : 14,293.02 = 5,819.86 : x
  2. Step 2: Convert to fraction form
    10,356.94/14,293.02 = 5,819.86/x
  3. Step 3: Cross multiply
    10,356.94x = 14,293.02 × 5,819.86
  4. Step 4: Simplify right side
    10,356.94x = 83,183,375.38
  5. Step 5: Solve for x
    x = 83,183,375.38/10,356.94
  6. Step 6: Final answer
    x = 8,031.66

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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.