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Finding the Fourth Proportional to 10,589.76, 14,613.77 and 5,873.94

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Solution

The fourth proportional to 10,589.76, 14,613.77 and 5,873.94 is: 8,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.76 : 14,613.77 = 5,873.94 : x
  2. Step 2: Convert to fraction form
    10,589.76/14,613.77 = 5,873.94/x
  3. Step 3: Cross multiply
    10,589.76x = 14,613.77 × 5,873.94
  4. Step 4: Simplify right side
    10,589.76x = 85,840,378.78
  5. Step 5: Solve for x
    x = 85,840,378.78/10,589.76
  6. Step 6: Final answer
    x = 8,105.98

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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.