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Finding the Fourth Proportional to 7,382.77, 10,185.78 and 4,195.69

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Solution

The fourth proportional to 7,382.77, 10,185.78 and 4,195.69 is: 5,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.77 : 10,185.78 = 4,195.69 : x
  2. Step 2: Convert to fraction form
    7,382.77/10,185.78 = 4,195.69/x
  3. Step 3: Cross multiply
    7,382.77x = 10,185.78 × 4,195.69
  4. Step 4: Simplify right side
    7,382.77x = 42,736,375.29
  5. Step 5: Solve for x
    x = 42,736,375.29/7,382.77
  6. Step 6: Final answer
    x = 5,788.66

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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.