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Finding the Fourth Proportional to 10,459.88, 14,420.67 and 8,961.38

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Solution

The fourth proportional to 10,459.88, 14,420.67 and 8,961.38 is: 12,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.88 : 14,420.67 = 8,961.38 : x
  2. Step 2: Convert to fraction form
    10,459.88/14,420.67 = 8,961.38/x
  3. Step 3: Cross multiply
    10,459.88x = 14,420.67 × 8,961.38
  4. Step 4: Simplify right side
    10,459.88x = 129,229,103.72
  5. Step 5: Solve for x
    x = 129,229,103.72/10,459.88
  6. Step 6: Final answer
    x = 12,354.74

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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.