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Finding the Fourth Proportional to 10,589.80, 14,613.80 and 5,809.60

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Solution

The fourth proportional to 10,589.80, 14,613.80 and 5,809.60 is: 8,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.80 : 14,613.80 = 5,809.60 : x
  2. Step 2: Convert to fraction form
    10,589.80/14,613.80 = 5,809.60/x
  3. Step 3: Cross multiply
    10,589.80x = 14,613.80 × 5,809.60
  4. Step 4: Simplify right side
    10,589.80x = 84,900,332.48
  5. Step 5: Solve for x
    x = 84,900,332.48/10,589.80
  6. Step 6: Final answer
    x = 8,017.18

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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.