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Finding the Fourth Proportional to 7,382.57, 10,179.67 and 6,034.00

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Solution

The fourth proportional to 7,382.57, 10,179.67 and 6,034.00 is: 8,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.57 : 10,179.67 = 6,034.00 : x
  2. Step 2: Convert to fraction form
    7,382.57/10,179.67 = 6,034.00/x
  3. Step 3: Cross multiply
    7,382.57x = 10,179.67 × 6,034.00
  4. Step 4: Simplify right side
    7,382.57x = 61,424,077.88
  5. Step 5: Solve for x
    x = 61,424,077.88/7,382.57
  6. Step 6: Final answer
    x = 8,320.15

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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.