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Finding the Fourth Proportional to 7,382.00, 11,072.96 and 2,316.57

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Solution

The fourth proportional to 7,382.00, 11,072.96 and 2,316.57 is: 3,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.00 : 11,072.96 = 2,316.57 : x
  2. Step 2: Convert to fraction form
    7,382.00/11,072.96 = 2,316.57/x
  3. Step 3: Cross multiply
    7,382.00x = 11,072.96 × 2,316.57
  4. Step 4: Simplify right side
    7,382.00x = 25,651,275.36
  5. Step 5: Solve for x
    x = 25,651,275.36/7,382.00
  6. Step 6: Final answer
    x = 3,474.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.