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Finding the Fourth Proportional to 12,370.40, 17,074.38 and 7,651.94

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Solution

The fourth proportional to 12,370.40, 17,074.38 and 7,651.94 is: 10,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.40 : 17,074.38 = 7,651.94 : x
  2. Step 2: Convert to fraction form
    12,370.40/17,074.38 = 7,651.94/x
  3. Step 3: Cross multiply
    12,370.40x = 17,074.38 × 7,651.94
  4. Step 4: Simplify right side
    12,370.40x = 130,652,131.30
  5. Step 5: Solve for x
    x = 130,652,131.30/12,370.40
  6. Step 6: Final answer
    x = 10,561.67

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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.