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Finding the Fourth Proportional to 10,971.67, 16,456.05 and 4,397.95

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Solution

The fourth proportional to 10,971.67, 16,456.05 and 4,397.95 is: 6,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.67 : 16,456.05 = 4,397.95 : x
  2. Step 2: Convert to fraction form
    10,971.67/16,456.05 = 4,397.95/x
  3. Step 3: Cross multiply
    10,971.67x = 16,456.05 × 4,397.95
  4. Step 4: Simplify right side
    10,971.67x = 72,372,885.10
  5. Step 5: Solve for x
    x = 72,372,885.10/10,971.67
  6. Step 6: Final answer
    x = 6,596.34

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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.