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Finding the Fourth Proportional to 12,680.10, 17,507.14 and 7,901.96

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Solution

The fourth proportional to 12,680.10, 17,507.14 and 7,901.96 is: 10,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.10 : 17,507.14 = 7,901.96 : x
  2. Step 2: Convert to fraction form
    12,680.10/17,507.14 = 7,901.96/x
  3. Step 3: Cross multiply
    12,680.10x = 17,507.14 × 7,901.96
  4. Step 4: Simplify right side
    12,680.10x = 138,340,719.99
  5. Step 5: Solve for x
    x = 138,340,719.99/12,680.10
  6. Step 6: Final answer
    x = 10,910.07

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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.