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Finding the Fourth Proportional to 8,519.65, 12,779.93 and 2,596.08

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Solution

The fourth proportional to 8,519.65, 12,779.93 and 2,596.08 is: 3,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.65 : 12,779.93 = 2,596.08 : x
  2. Step 2: Convert to fraction form
    8,519.65/12,779.93 = 2,596.08/x
  3. Step 3: Cross multiply
    8,519.65x = 12,779.93 × 2,596.08
  4. Step 4: Simplify right side
    8,519.65x = 33,177,760.49
  5. Step 5: Solve for x
    x = 33,177,760.49/8,519.65
  6. Step 6: Final answer
    x = 3,894.26

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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.