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Finding the Fourth Proportional to 10,675.98, 16,013.97 and 2,884.77

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Solution

The fourth proportional to 10,675.98, 16,013.97 and 2,884.77 is: 4,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.98 : 16,013.97 = 2,884.77 : x
  2. Step 2: Convert to fraction form
    10,675.98/16,013.97 = 2,884.77/x
  3. Step 3: Cross multiply
    10,675.98x = 16,013.97 × 2,884.77
  4. Step 4: Simplify right side
    10,675.98x = 46,196,620.24
  5. Step 5: Solve for x
    x = 46,196,620.24/10,675.98
  6. Step 6: Final answer
    x = 4,327.16

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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.