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Finding the Fourth Proportional to 7,676.86, 10,594.11 and 4,534.60

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Solution

The fourth proportional to 7,676.86, 10,594.11 and 4,534.60 is: 6,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.86 : 10,594.11 = 4,534.60 : x
  2. Step 2: Convert to fraction form
    7,676.86/10,594.11 = 4,534.60/x
  3. Step 3: Cross multiply
    7,676.86x = 10,594.11 × 4,534.60
  4. Step 4: Simplify right side
    7,676.86x = 48,040,051.21
  5. Step 5: Solve for x
    x = 48,040,051.21/7,676.86
  6. Step 6: Final answer
    x = 6,257.77

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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.