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Finding the Fourth Proportional to 7,382.73, 10,179.89 and 6,034.15

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Solution

The fourth proportional to 7,382.73, 10,179.89 and 6,034.15 is: 8,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.73 : 10,179.89 = 6,034.15 : x
  2. Step 2: Convert to fraction form
    7,382.73/10,179.89 = 6,034.15/x
  3. Step 3: Cross multiply
    7,382.73x = 10,179.89 × 6,034.15
  4. Step 4: Simplify right side
    7,382.73x = 61,426,953.07
  5. Step 5: Solve for x
    x = 61,426,953.07/7,382.73
  6. Step 6: Final answer
    x = 8,320.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.