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Finding the Fourth Proportional to 7,997.47, 11,988.64 and 3,314.59

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Solution

The fourth proportional to 7,997.47, 11,988.64 and 3,314.59 is: 4,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.47 : 11,988.64 = 3,314.59 : x
  2. Step 2: Convert to fraction form
    7,997.47/11,988.64 = 3,314.59/x
  3. Step 3: Cross multiply
    7,997.47x = 11,988.64 × 3,314.59
  4. Step 4: Simplify right side
    7,997.47x = 39,737,426.26
  5. Step 5: Solve for x
    x = 39,737,426.26/7,997.47
  6. Step 6: Final answer
    x = 4,968.75

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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.