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Finding the Fourth Proportional to 8,980.34, 12,389.49 and 5,202.12

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Solution

The fourth proportional to 8,980.34, 12,389.49 and 5,202.12 is: 7,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.34 : 12,389.49 = 5,202.12 : x
  2. Step 2: Convert to fraction form
    8,980.34/12,389.49 = 5,202.12/x
  3. Step 3: Cross multiply
    8,980.34x = 12,389.49 × 5,202.12
  4. Step 4: Simplify right side
    8,980.34x = 64,451,613.72
  5. Step 5: Solve for x
    x = 64,451,613.72/8,980.34
  6. Step 6: Final answer
    x = 7,176.97

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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.