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Finding the Fourth Proportional to 11,539.44, 15,924.24 and 6,504.12

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Solution

The fourth proportional to 11,539.44, 15,924.24 and 6,504.12 is: 8,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.44 : 15,924.24 = 6,504.12 : x
  2. Step 2: Convert to fraction form
    11,539.44/15,924.24 = 6,504.12/x
  3. Step 3: Cross multiply
    11,539.44x = 15,924.24 × 6,504.12
  4. Step 4: Simplify right side
    11,539.44x = 103,573,167.87
  5. Step 5: Solve for x
    x = 103,573,167.87/11,539.44
  6. Step 6: Final answer
    x = 8,975.58

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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.