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Finding the Fourth Proportional to 8,456, 11,662.12 and 5,098.08

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Solution

The fourth proportional to 8,456, 11,662.12 and 5,098.08 is: 7,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456 : 11,662.12 = 5,098.08 : x
  2. Step 2: Convert to fraction form
    8,456/11,662.12 = 5,098.08/x
  3. Step 3: Cross multiply
    8,456x = 11,662.12 × 5,098.08
  4. Step 4: Simplify right side
    8,456x = 59,454,420.73
  5. Step 5: Solve for x
    x = 59,454,420.73/8,456
  6. Step 6: Final answer
    x = 7,031.03

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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.