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Finding the Fourth Proportional to 11,525.35, 15,906.53 and 6,746.75

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Solution

The fourth proportional to 11,525.35, 15,906.53 and 6,746.75 is: 9,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.35 : 15,906.53 = 6,746.75 : x
  2. Step 2: Convert to fraction form
    11,525.35/15,906.53 = 6,746.75/x
  3. Step 3: Cross multiply
    11,525.35x = 15,906.53 × 6,746.75
  4. Step 4: Simplify right side
    11,525.35x = 107,317,387.31
  5. Step 5: Solve for x
    x = 107,317,387.31/11,525.35
  6. Step 6: Final answer
    x = 9,311.42

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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.