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Finding the Fourth Proportional to 10,589.74, 14,623.13 and 6,617.63

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Solution

The fourth proportional to 10,589.74, 14,623.13 and 6,617.63 is: 9,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.74 : 14,623.13 = 6,617.63 : x
  2. Step 2: Convert to fraction form
    10,589.74/14,623.13 = 6,617.63/x
  3. Step 3: Cross multiply
    10,589.74x = 14,623.13 × 6,617.63
  4. Step 4: Simplify right side
    10,589.74x = 96,770,516.88
  5. Step 5: Solve for x
    x = 96,770,516.88/10,589.74
  6. Step 6: Final answer
    x = 9,138.14

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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.