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Finding the Fourth Proportional to 12,379.76, 17,082.96 and 7,074.56

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Solution

The fourth proportional to 12,379.76, 17,082.96 and 7,074.56 is: 9,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.76 : 17,082.96 = 7,074.56 : x
  2. Step 2: Convert to fraction form
    12,379.76/17,082.96 = 7,074.56/x
  3. Step 3: Cross multiply
    12,379.76x = 17,082.96 × 7,074.56
  4. Step 4: Simplify right side
    12,379.76x = 120,854,425.50
  5. Step 5: Solve for x
    x = 120,854,425.50/12,379.76
  6. Step 6: Final answer
    x = 9,762.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.