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Finding the Fourth Proportional to 11,645.46, 16,070.85 and 6,676.50

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Solution

The fourth proportional to 11,645.46, 16,070.85 and 6,676.50 is: 9,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.46 : 16,070.85 = 6,676.50 : x
  2. Step 2: Convert to fraction form
    11,645.46/16,070.85 = 6,676.50/x
  3. Step 3: Cross multiply
    11,645.46x = 16,070.85 × 6,676.50
  4. Step 4: Simplify right side
    11,645.46x = 107,297,030.03
  5. Step 5: Solve for x
    x = 107,297,030.03/11,645.46
  6. Step 6: Final answer
    x = 9,213.64

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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.