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Finding the Fourth Proportional to 7,686.72, 11,520.68 and 4,346.69

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Solution

The fourth proportional to 7,686.72, 11,520.68 and 4,346.69 is: 6,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.72 : 11,520.68 = 4,346.69 : x
  2. Step 2: Convert to fraction form
    7,686.72/11,520.68 = 4,346.69/x
  3. Step 3: Cross multiply
    7,686.72x = 11,520.68 × 4,346.69
  4. Step 4: Simplify right side
    7,686.72x = 50,076,745.21
  5. Step 5: Solve for x
    x = 50,076,745.21/7,686.72
  6. Step 6: Final answer
    x = 6,514.71

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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.