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Finding the Fourth Proportional to 11,162.34, 16,734.56 and 7,643.70

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Solution

The fourth proportional to 11,162.34, 16,734.56 and 7,643.70 is: 11,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.34 : 16,734.56 = 7,643.70 : x
  2. Step 2: Convert to fraction form
    11,162.34/16,734.56 = 7,643.70/x
  3. Step 3: Cross multiply
    11,162.34x = 16,734.56 × 7,643.70
  4. Step 4: Simplify right side
    11,162.34x = 127,913,918.05
  5. Step 5: Solve for x
    x = 127,913,918.05/11,162.34
  6. Step 6: Final answer
    x = 11,459.42

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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.