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Finding the Fourth Proportional to 7,114.29, 10,676.28 and 2,497.29

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Solution

The fourth proportional to 7,114.29, 10,676.28 and 2,497.29 is: 3,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.29 : 10,676.28 = 2,497.29 : x
  2. Step 2: Convert to fraction form
    7,114.29/10,676.28 = 2,497.29/x
  3. Step 3: Cross multiply
    7,114.29x = 10,676.28 × 2,497.29
  4. Step 4: Simplify right side
    7,114.29x = 26,661,767.28
  5. Step 5: Solve for x
    x = 26,661,767.28/7,114.29
  6. Step 6: Final answer
    x = 3,747.64

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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.