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Finding the Fourth Proportional to 10,997.33, 16,491.86 and 4,756.86

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Solution

The fourth proportional to 10,997.33, 16,491.86 and 4,756.86 is: 7,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.33 : 16,491.86 = 4,756.86 : x
  2. Step 2: Convert to fraction form
    10,997.33/16,491.86 = 4,756.86/x
  3. Step 3: Cross multiply
    10,997.33x = 16,491.86 × 4,756.86
  4. Step 4: Simplify right side
    10,997.33x = 78,449,445.38
  5. Step 5: Solve for x
    x = 78,449,445.38/10,997.33
  6. Step 6: Final answer
    x = 7,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.