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Finding the Fourth Proportional to 7,997.49, 11,995.68 and 3,315.74

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Solution

The fourth proportional to 7,997.49, 11,995.68 and 3,315.74 is: 4,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.49 : 11,995.68 = 3,315.74 : x
  2. Step 2: Convert to fraction form
    7,997.49/11,995.68 = 3,315.74/x
  3. Step 3: Cross multiply
    7,997.49x = 11,995.68 × 3,315.74
  4. Step 4: Simplify right side
    7,997.49x = 39,774,556.00
  5. Step 5: Solve for x
    x = 39,774,556.00/7,997.49
  6. Step 6: Final answer
    x = 4,973.38

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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.