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Finding the Fourth Proportional to 7,996.82, 11,035.05 and 4,460.24

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Solution

The fourth proportional to 7,996.82, 11,035.05 and 4,460.24 is: 6,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.82 : 11,035.05 = 4,460.24 : x
  2. Step 2: Convert to fraction form
    7,996.82/11,035.05 = 4,460.24/x
  3. Step 3: Cross multiply
    7,996.82x = 11,035.05 × 4,460.24
  4. Step 4: Simplify right side
    7,996.82x = 49,218,971.41
  5. Step 5: Solve for x
    x = 49,218,971.41/7,996.82
  6. Step 6: Final answer
    x = 6,154.82

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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.