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Finding the Fourth Proportional to 4,676.86, 7,012.84 and 4,143.92

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Solution

The fourth proportional to 4,676.86, 7,012.84 and 4,143.92 is: 6,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.86 : 7,012.84 = 4,143.92 : x
  2. Step 2: Convert to fraction form
    4,676.86/7,012.84 = 4,143.92/x
  3. Step 3: Cross multiply
    4,676.86x = 7,012.84 × 4,143.92
  4. Step 4: Simplify right side
    4,676.86x = 29,060,655.11
  5. Step 5: Solve for x
    x = 29,060,655.11/4,676.86
  6. Step 6: Final answer
    x = 6,213.71

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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.