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Finding the Fourth Proportional to 8,539.35, 11,779.77 and 5,882.13

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Solution

The fourth proportional to 8,539.35, 11,779.77 and 5,882.13 is: 8,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.35 : 11,779.77 = 5,882.13 : x
  2. Step 2: Convert to fraction form
    8,539.35/11,779.77 = 5,882.13/x
  3. Step 3: Cross multiply
    8,539.35x = 11,779.77 × 5,882.13
  4. Step 4: Simplify right side
    8,539.35x = 69,290,138.51
  5. Step 5: Solve for x
    x = 69,290,138.51/8,539.35
  6. Step 6: Final answer
    x = 8,114.22

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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.