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Finding the Fourth Proportional to 11,984.70, 16,543.98 and 7,507.44

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Solution

The fourth proportional to 11,984.70, 16,543.98 and 7,507.44 is: 10,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.70 : 16,543.98 = 7,507.44 : x
  2. Step 2: Convert to fraction form
    11,984.70/16,543.98 = 7,507.44/x
  3. Step 3: Cross multiply
    11,984.70x = 16,543.98 × 7,507.44
  4. Step 4: Simplify right side
    11,984.70x = 124,202,937.21
  5. Step 5: Solve for x
    x = 124,202,937.21/11,984.70
  6. Step 6: Final answer
    x = 10,363.46

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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.