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Finding the Fourth Proportional to 11,984.44, 16,536 and 7,270.24

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Solution

The fourth proportional to 11,984.44, 16,536 and 7,270.24 is: 10,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.44 : 16,536 = 7,270.24 : x
  2. Step 2: Convert to fraction form
    11,984.44/16,536 = 7,270.24/x
  3. Step 3: Cross multiply
    11,984.44x = 16,536 × 7,270.24
  4. Step 4: Simplify right side
    11,984.44x = 120,220,688.64
  5. Step 5: Solve for x
    x = 120,220,688.64/11,984.44
  6. Step 6: Final answer
    x = 10,031.40

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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.