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Finding the Fourth Proportional to 10,680.83, 14,739.47 and 5,965.42

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Solution

The fourth proportional to 10,680.83, 14,739.47 and 5,965.42 is: 8,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.83 : 14,739.47 = 5,965.42 : x
  2. Step 2: Convert to fraction form
    10,680.83/14,739.47 = 5,965.42/x
  3. Step 3: Cross multiply
    10,680.83x = 14,739.47 × 5,965.42
  4. Step 4: Simplify right side
    10,680.83x = 87,927,055.43
  5. Step 5: Solve for x
    x = 87,927,055.43/10,680.83
  6. Step 6: Final answer
    x = 8,232.23

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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.