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Finding the Fourth Proportional to 10,635.80, 14,676.83 and 5,854.82

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Solution

The fourth proportional to 10,635.80, 14,676.83 and 5,854.82 is: 8,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.80 : 14,676.83 = 5,854.82 : x
  2. Step 2: Convert to fraction form
    10,635.80/14,676.83 = 5,854.82/x
  3. Step 3: Cross multiply
    10,635.80x = 14,676.83 × 5,854.82
  4. Step 4: Simplify right side
    10,635.80x = 85,930,139.07
  5. Step 5: Solve for x
    x = 85,930,139.07/10,635.80
  6. Step 6: Final answer
    x = 8,079.33

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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.