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Finding the Fourth Proportional to 10,672.25, 14,727.83 and 5,892.10

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Solution

The fourth proportional to 10,672.25, 14,727.83 and 5,892.10 is: 8,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.25 : 14,727.83 = 5,892.10 : x
  2. Step 2: Convert to fraction form
    10,672.25/14,727.83 = 5,892.10/x
  3. Step 3: Cross multiply
    10,672.25x = 14,727.83 × 5,892.10
  4. Step 4: Simplify right side
    10,672.25x = 86,777,780.86
  5. Step 5: Solve for x
    x = 86,777,780.86/10,672.25
  6. Step 6: Final answer
    x = 8,131.16

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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.