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Finding the Fourth Proportional to 7,382.57, 10,182.69 and 7,138.49

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Solution

The fourth proportional to 7,382.57, 10,182.69 and 7,138.49 is: 9,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.57 : 10,182.69 = 7,138.49 : x
  2. Step 2: Convert to fraction form
    7,382.57/10,182.69 = 7,138.49/x
  3. Step 3: Cross multiply
    7,382.57x = 10,182.69 × 7,138.49
  4. Step 4: Simplify right side
    7,382.57x = 72,688,979.82
  5. Step 5: Solve for x
    x = 72,688,979.82/7,382.57
  6. Step 6: Final answer
    x = 9,846.03

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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.