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Finding the Fourth Proportional to 11,592, 15,996.96 and 6,624.96

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Solution

The fourth proportional to 11,592, 15,996.96 and 6,624.96 is: 9,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 15,996.96 = 6,624.96 : x
  2. Step 2: Convert to fraction form
    11,592/15,996.96 = 6,624.96/x
  3. Step 3: Cross multiply
    11,592x = 15,996.96 × 6,624.96
  4. Step 4: Simplify right side
    11,592x = 105,979,220.12
  5. Step 5: Solve for x
    x = 105,979,220.12/11,592
  6. Step 6: Final answer
    x = 9,142.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.