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Finding the Fourth Proportional to 10,589.77, 14,613.87 and 5,874.07

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Solution

The fourth proportional to 10,589.77, 14,613.87 and 5,874.07 is: 8,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.77 : 14,613.87 = 5,874.07 : x
  2. Step 2: Convert to fraction form
    10,589.77/14,613.87 = 5,874.07/x
  3. Step 3: Cross multiply
    10,589.77x = 14,613.87 × 5,874.07
  4. Step 4: Simplify right side
    10,589.77x = 85,842,895.35
  5. Step 5: Solve for x
    x = 85,842,895.35/10,589.77
  6. Step 6: Final answer
    x = 8,106.21

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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.