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Finding the Fourth Proportional to 11,675.79, 16,114.68 and 6,960.38

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Solution

The fourth proportional to 11,675.79, 16,114.68 and 6,960.38 is: 9,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.79 : 16,114.68 = 6,960.38 : x
  2. Step 2: Convert to fraction form
    11,675.79/16,114.68 = 6,960.38/x
  3. Step 3: Cross multiply
    11,675.79x = 16,114.68 × 6,960.38
  4. Step 4: Simplify right side
    11,675.79x = 112,164,215.81
  5. Step 5: Solve for x
    x = 112,164,215.81/11,675.79
  6. Step 6: Final answer
    x = 9,606.56

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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.