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Finding the Fourth Proportional to 11,856.49, 16,369.59 and 7,609.38

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Solution

The fourth proportional to 11,856.49, 16,369.59 and 7,609.38 is: 10,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.49 : 16,369.59 = 7,609.38 : x
  2. Step 2: Convert to fraction form
    11,856.49/16,369.59 = 7,609.38/x
  3. Step 3: Cross multiply
    11,856.49x = 16,369.59 × 7,609.38
  4. Step 4: Simplify right side
    11,856.49x = 124,562,430.75
  5. Step 5: Solve for x
    x = 124,562,430.75/11,856.49
  6. Step 6: Final answer
    x = 10,505.84

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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.