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Finding the Fourth Proportional to 8,538.06, 11,779.14 and 5,179.65

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Solution

The fourth proportional to 8,538.06, 11,779.14 and 5,179.65 is: 7,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.06 : 11,779.14 = 5,179.65 : x
  2. Step 2: Convert to fraction form
    8,538.06/11,779.14 = 5,179.65/x
  3. Step 3: Cross multiply
    8,538.06x = 11,779.14 × 5,179.65
  4. Step 4: Simplify right side
    8,538.06x = 61,011,822.50
  5. Step 5: Solve for x
    x = 61,011,822.50/8,538.06
  6. Step 6: Final answer
    x = 7,145.86

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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.