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Finding the Fourth Proportional to 11,693.86, 16,125.24 and 7,709.88

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Solution

The fourth proportional to 11,693.86, 16,125.24 and 7,709.88 is: 10,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.86 : 16,125.24 = 7,709.88 : x
  2. Step 2: Convert to fraction form
    11,693.86/16,125.24 = 7,709.88/x
  3. Step 3: Cross multiply
    11,693.86x = 16,125.24 × 7,709.88
  4. Step 4: Simplify right side
    11,693.86x = 124,323,665.37
  5. Step 5: Solve for x
    x = 124,323,665.37/11,693.86
  6. Step 6: Final answer
    x = 10,631.53

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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.