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Finding the Fourth Proportional to 10,577.96, 14,596.38 and 5,861.04

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Solution

The fourth proportional to 10,577.96, 14,596.38 and 5,861.04 is: 8,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.96 : 14,596.38 = 5,861.04 : x
  2. Step 2: Convert to fraction form
    10,577.96/14,596.38 = 5,861.04/x
  3. Step 3: Cross multiply
    10,577.96x = 14,596.38 × 5,861.04
  4. Step 4: Simplify right side
    10,577.96x = 85,549,967.04
  5. Step 5: Solve for x
    x = 85,549,967.04/10,577.96
  6. Step 6: Final answer
    x = 8,087.57

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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.