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Finding the Fourth Proportional to 7,676.78, 10,595.16 and 4,694.36

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Solution

The fourth proportional to 7,676.78, 10,595.16 and 4,694.36 is: 6,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.78 : 10,595.16 = 4,694.36 : x
  2. Step 2: Convert to fraction form
    7,676.78/10,595.16 = 4,694.36/x
  3. Step 3: Cross multiply
    7,676.78x = 10,595.16 × 4,694.36
  4. Step 4: Simplify right side
    7,676.78x = 49,737,495.30
  5. Step 5: Solve for x
    x = 49,737,495.30/7,676.78
  6. Step 6: Final answer
    x = 6,478.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.