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Finding the Fourth Proportional to 11,575.84, 15,974.97 and 6,539.96

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Solution

The fourth proportional to 11,575.84, 15,974.97 and 6,539.96 is: 9,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.84 : 15,974.97 = 6,539.96 : x
  2. Step 2: Convert to fraction form
    11,575.84/15,974.97 = 6,539.96/x
  3. Step 3: Cross multiply
    11,575.84x = 15,974.97 × 6,539.96
  4. Step 4: Simplify right side
    11,575.84x = 104,475,627.14
  5. Step 5: Solve for x
    x = 104,475,627.14/11,575.84
  6. Step 6: Final answer
    x = 9,025.32

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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.