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Finding the Fourth Proportional to 10,382.04, 14,326.74 and 5,905.14

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Solution

The fourth proportional to 10,382.04, 14,326.74 and 5,905.14 is: 8,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.04 : 14,326.74 = 5,905.14 : x
  2. Step 2: Convert to fraction form
    10,382.04/14,326.74 = 5,905.14/x
  3. Step 3: Cross multiply
    10,382.04x = 14,326.74 × 5,905.14
  4. Step 4: Simplify right side
    10,382.04x = 84,601,405.44
  5. Step 5: Solve for x
    x = 84,601,405.44/10,382.04
  6. Step 6: Final answer
    x = 8,148.82

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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.