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Finding the Fourth Proportional to 8,213.77, 11,335.02 and 4,676.99

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Solution

The fourth proportional to 8,213.77, 11,335.02 and 4,676.99 is: 6,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.77 : 11,335.02 = 4,676.99 : x
  2. Step 2: Convert to fraction form
    8,213.77/11,335.02 = 4,676.99/x
  3. Step 3: Cross multiply
    8,213.77x = 11,335.02 × 4,676.99
  4. Step 4: Simplify right side
    8,213.77x = 53,013,700.98
  5. Step 5: Solve for x
    x = 53,013,700.98/8,213.77
  6. Step 6: Final answer
    x = 6,454.25

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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.