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Finding the Fourth Proportional to 11,288.28, 16,851.64 and 9,812.48

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Solution

The fourth proportional to 11,288.28, 16,851.64 and 9,812.48 is: 14,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.28 : 16,851.64 = 9,812.48 : x
  2. Step 2: Convert to fraction form
    11,288.28/16,851.64 = 9,812.48/x
  3. Step 3: Cross multiply
    11,288.28x = 16,851.64 × 9,812.48
  4. Step 4: Simplify right side
    11,288.28x = 165,356,380.47
  5. Step 5: Solve for x
    x = 165,356,380.47/11,288.28
  6. Step 6: Final answer
    x = 14,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.