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Finding the Fourth Proportional to 7,294.24, 10,934.64 and 2,676.64

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Solution

The fourth proportional to 7,294.24, 10,934.64 and 2,676.64 is: 4,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.24 : 10,934.64 = 2,676.64 : x
  2. Step 2: Convert to fraction form
    7,294.24/10,934.64 = 2,676.64/x
  3. Step 3: Cross multiply
    7,294.24x = 10,934.64 × 2,676.64
  4. Step 4: Simplify right side
    7,294.24x = 29,268,094.81
  5. Step 5: Solve for x
    x = 29,268,094.81/7,294.24
  6. Step 6: Final answer
    x = 4,012.49

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Why These Related Problems?

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