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Finding the Fourth Proportional to 7,676.30, 11,510.34 and 2,743.24

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Solution

The fourth proportional to 7,676.30, 11,510.34 and 2,743.24 is: 4,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.30 : 11,510.34 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    7,676.30/11,510.34 = 2,743.24/x
  3. Step 3: Cross multiply
    7,676.30x = 11,510.34 × 2,743.24
  4. Step 4: Simplify right side
    7,676.30x = 31,575,653.88
  5. Step 5: Solve for x
    x = 31,575,653.88/7,676.30
  6. Step 6: Final answer
    x = 4,113.40

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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.