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Finding the Fourth Proportional to 7,114.14, 10,676.06 and 2,497.14

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Solution

The fourth proportional to 7,114.14, 10,676.06 and 2,497.14 is: 3,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.14 : 10,676.06 = 2,497.14 : x
  2. Step 2: Convert to fraction form
    7,114.14/10,676.06 = 2,497.14/x
  3. Step 3: Cross multiply
    7,114.14x = 10,676.06 × 2,497.14
  4. Step 4: Simplify right side
    7,114.14x = 26,659,616.47
  5. Step 5: Solve for x
    x = 26,659,616.47/7,114.14
  6. Step 6: Final answer
    x = 3,747.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.