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Finding the Fourth Proportional to 7,116.98, 10,677.39 and 6,431.54

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Solution

The fourth proportional to 7,116.98, 10,677.39 and 6,431.54 is: 9,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.98 : 10,677.39 = 6,431.54 : x
  2. Step 2: Convert to fraction form
    7,116.98/10,677.39 = 6,431.54/x
  3. Step 3: Cross multiply
    7,116.98x = 10,677.39 × 6,431.54
  4. Step 4: Simplify right side
    7,116.98x = 68,672,060.88
  5. Step 5: Solve for x
    x = 68,672,060.88/7,116.98
  6. Step 6: Final answer
    x = 9,649.05

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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.