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Finding the Fourth Proportional to 11,468.70, 15,834.42 and 8,811.36

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Solution

The fourth proportional to 11,468.70, 15,834.42 and 8,811.36 is: 12,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.70 : 15,834.42 = 8,811.36 : x
  2. Step 2: Convert to fraction form
    11,468.70/15,834.42 = 8,811.36/x
  3. Step 3: Cross multiply
    11,468.70x = 15,834.42 × 8,811.36
  4. Step 4: Simplify right side
    11,468.70x = 139,522,775.01
  5. Step 5: Solve for x
    x = 139,522,775.01/11,468.70
  6. Step 6: Final answer
    x = 12,165.53

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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.