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Finding the Fourth Proportional to 7,676.34, 11,506.05 and 2,995.48

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Solution

The fourth proportional to 7,676.34, 11,506.05 and 2,995.48 is: 4,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.34 : 11,506.05 = 2,995.48 : x
  2. Step 2: Convert to fraction form
    7,676.34/11,506.05 = 2,995.48/x
  3. Step 3: Cross multiply
    7,676.34x = 11,506.05 × 2,995.48
  4. Step 4: Simplify right side
    7,676.34x = 34,466,157.04
  5. Step 5: Solve for x
    x = 34,466,157.04/7,676.34
  6. Step 6: Final answer
    x = 4,489.92

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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.