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Finding the Fourth Proportional to 7,657.31, 11,483.12 and 2,725.62

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Solution

The fourth proportional to 7,657.31, 11,483.12 and 2,725.62 is: 4,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.31 : 11,483.12 = 2,725.62 : x
  2. Step 2: Convert to fraction form
    7,657.31/11,483.12 = 2,725.62/x
  3. Step 3: Cross multiply
    7,657.31x = 11,483.12 × 2,725.62
  4. Step 4: Simplify right side
    7,657.31x = 31,298,628.35
  5. Step 5: Solve for x
    x = 31,298,628.35/7,657.31
  6. Step 6: Final answer
    x = 4,087.42

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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.