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Finding the Fourth Proportional to 10,577.70, 14,597.19 and 5,861.98

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Solution

The fourth proportional to 10,577.70, 14,597.19 and 5,861.98 is: 8,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.70 : 14,597.19 = 5,861.98 : x
  2. Step 2: Convert to fraction form
    10,577.70/14,597.19 = 5,861.98/x
  3. Step 3: Cross multiply
    10,577.70x = 14,597.19 × 5,861.98
  4. Step 4: Simplify right side
    10,577.70x = 85,568,454.08
  5. Step 5: Solve for x
    x = 85,568,454.08/10,577.70
  6. Step 6: Final answer
    x = 8,089.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.