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Finding the Fourth Proportional to 10,666.38, 14,719.56 and 5,950.67

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Solution

The fourth proportional to 10,666.38, 14,719.56 and 5,950.67 is: 8,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.38 : 14,719.56 = 5,950.67 : x
  2. Step 2: Convert to fraction form
    10,666.38/14,719.56 = 5,950.67/x
  3. Step 3: Cross multiply
    10,666.38x = 14,719.56 × 5,950.67
  4. Step 4: Simplify right side
    10,666.38x = 87,591,170.51
  5. Step 5: Solve for x
    x = 87,591,170.51/10,666.38
  6. Step 6: Final answer
    x = 8,211.89

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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.