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Finding the Fourth Proportional to 10,589.81, 14,613.53 and 5,809.86

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Solution

The fourth proportional to 10,589.81, 14,613.53 and 5,809.86 is: 8,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.81 : 14,613.53 = 5,809.86 : x
  2. Step 2: Convert to fraction form
    10,589.81/14,613.53 = 5,809.86/x
  3. Step 3: Cross multiply
    10,589.81x = 14,613.53 × 5,809.86
  4. Step 4: Simplify right side
    10,589.81x = 84,902,534.36
  5. Step 5: Solve for x
    x = 84,902,534.36/10,589.81
  6. Step 6: Final answer
    x = 8,017.38

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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.