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Finding the Fourth Proportional to 7,382.07, 10,178.98 and 6,033.49

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Solution

The fourth proportional to 7,382.07, 10,178.98 and 6,033.49 is: 8,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.07 : 10,178.98 = 6,033.49 : x
  2. Step 2: Convert to fraction form
    7,382.07/10,178.98 = 6,033.49/x
  3. Step 3: Cross multiply
    7,382.07x = 10,178.98 × 6,033.49
  4. Step 4: Simplify right side
    7,382.07x = 61,414,812.64
  5. Step 5: Solve for x
    x = 61,414,812.64/7,382.07
  6. Step 6: Final answer
    x = 8,319.46

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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.