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Finding the Fourth Proportional to 10,287, 15,402.96 and 8,100

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Solution

The fourth proportional to 10,287, 15,402.96 and 8,100 is: 12,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 15,402.96 = 8,100 : x
  2. Step 2: Convert to fraction form
    10,287/15,402.96 = 8,100/x
  3. Step 3: Cross multiply
    10,287x = 15,402.96 × 8,100
  4. Step 4: Simplify right side
    10,287x = 124,763,976
  5. Step 5: Solve for x
    x = 124,763,976/10,287
  6. Step 6: Final answer
    x = 12,128.31

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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.