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Finding the Fourth Proportional to 10,617.73, 14,652.43 and 5,837.99

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Solution

The fourth proportional to 10,617.73, 14,652.43 and 5,837.99 is: 8,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.73 : 14,652.43 = 5,837.99 : x
  2. Step 2: Convert to fraction form
    10,617.73/14,652.43 = 5,837.99/x
  3. Step 3: Cross multiply
    10,617.73x = 14,652.43 × 5,837.99
  4. Step 4: Simplify right side
    10,617.73x = 85,540,651.96
  5. Step 5: Solve for x
    x = 85,540,651.96/10,617.73
  6. Step 6: Final answer
    x = 8,056.40

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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.