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Finding the Fourth Proportional to 10,716.80, 14,790.96 and 6,243.21

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Solution

The fourth proportional to 10,716.80, 14,790.96 and 6,243.21 is: 8,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.80 : 14,790.96 = 6,243.21 : x
  2. Step 2: Convert to fraction form
    10,716.80/14,790.96 = 6,243.21/x
  3. Step 3: Cross multiply
    10,716.80x = 14,790.96 × 6,243.21
  4. Step 4: Simplify right side
    10,716.80x = 92,343,069.38
  5. Step 5: Solve for x
    x = 92,343,069.38/10,716.80
  6. Step 6: Final answer
    x = 8,616.67

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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.