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Finding the Fourth Proportional to 12,167.08, 16,790.50 and 6,577.96

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Solution

The fourth proportional to 12,167.08, 16,790.50 and 6,577.96 is: 9,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.08 : 16,790.50 = 6,577.96 : x
  2. Step 2: Convert to fraction form
    12,167.08/16,790.50 = 6,577.96/x
  3. Step 3: Cross multiply
    12,167.08x = 16,790.50 × 6,577.96
  4. Step 4: Simplify right side
    12,167.08x = 110,447,237.38
  5. Step 5: Solve for x
    x = 110,447,237.38/12,167.08
  6. Step 6: Final answer
    x = 9,077.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.