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Finding the Fourth Proportional to 10,362.60, 14,294.49 and 6,382.86

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Solution

The fourth proportional to 10,362.60, 14,294.49 and 6,382.86 is: 8,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.60 : 14,294.49 = 6,382.86 : x
  2. Step 2: Convert to fraction form
    10,362.60/14,294.49 = 6,382.86/x
  3. Step 3: Cross multiply
    10,362.60x = 14,294.49 × 6,382.86
  4. Step 4: Simplify right side
    10,362.60x = 91,239,728.44
  5. Step 5: Solve for x
    x = 91,239,728.44/10,362.60
  6. Step 6: Final answer
    x = 8,804.71

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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.