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Finding the Fourth Proportional to 7,686.39, 11,539.31 and 6,539.43

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Solution

The fourth proportional to 7,686.39, 11,539.31 and 6,539.43 is: 9,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.39 : 11,539.31 = 6,539.43 : x
  2. Step 2: Convert to fraction form
    7,686.39/11,539.31 = 6,539.43/x
  3. Step 3: Cross multiply
    7,686.39x = 11,539.31 × 6,539.43
  4. Step 4: Simplify right side
    7,686.39x = 75,460,509.99
  5. Step 5: Solve for x
    x = 75,460,509.99/7,686.39
  6. Step 6: Final answer
    x = 9,817.42

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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.