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Finding the Fourth Proportional to 12,310.11, 16,986.24 and 7,004.34

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Solution

The fourth proportional to 12,310.11, 16,986.24 and 7,004.34 is: 9,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.11 : 16,986.24 = 7,004.34 : x
  2. Step 2: Convert to fraction form
    12,310.11/16,986.24 = 7,004.34/x
  3. Step 3: Cross multiply
    12,310.11x = 16,986.24 × 7,004.34
  4. Step 4: Simplify right side
    12,310.11x = 118,977,400.28
  5. Step 5: Solve for x
    x = 118,977,400.28/12,310.11
  6. Step 6: Final answer
    x = 9,665.02

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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.