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Finding the Fourth Proportional to 11,270.88, 16,898.76 and 10,098

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Solution

The fourth proportional to 11,270.88, 16,898.76 and 10,098 is: 15,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.88 : 16,898.76 = 10,098 : x
  2. Step 2: Convert to fraction form
    11,270.88/16,898.76 = 10,098/x
  3. Step 3: Cross multiply
    11,270.88x = 16,898.76 × 10,098
  4. Step 4: Simplify right side
    11,270.88x = 170,643,678.48
  5. Step 5: Solve for x
    x = 170,643,678.48/11,270.88
  6. Step 6: Final answer
    x = 15,140.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.