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Finding the Fourth Proportional to 8,453.86, 11,666.36 and 4,676.96

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Solution

The fourth proportional to 8,453.86, 11,666.36 and 4,676.96 is: 6,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.86 : 11,666.36 = 4,676.96 : x
  2. Step 2: Convert to fraction form
    8,453.86/11,666.36 = 4,676.96/x
  3. Step 3: Cross multiply
    8,453.86x = 11,666.36 × 4,676.96
  4. Step 4: Simplify right side
    8,453.86x = 54,563,139.92
  5. Step 5: Solve for x
    x = 54,563,139.92/8,453.86
  6. Step 6: Final answer
    x = 6,454.23

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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.