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Finding the Fourth Proportional to 10,367.96, 14,303.73 and 6,382.16

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Solution

The fourth proportional to 10,367.96, 14,303.73 and 6,382.16 is: 8,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.96 : 14,303.73 = 6,382.16 : x
  2. Step 2: Convert to fraction form
    10,367.96/14,303.73 = 6,382.16/x
  3. Step 3: Cross multiply
    10,367.96x = 14,303.73 × 6,382.16
  4. Step 4: Simplify right side
    10,367.96x = 91,288,693.46
  5. Step 5: Solve for x
    x = 91,288,693.46/10,367.96
  6. Step 6: Final answer
    x = 8,804.88

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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.