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Finding the Fourth Proportional to 7,382.46, 10,187.54 and 4,025.22

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Solution

The fourth proportional to 7,382.46, 10,187.54 and 4,025.22 is: 5,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.46 : 10,187.54 = 4,025.22 : x
  2. Step 2: Convert to fraction form
    7,382.46/10,187.54 = 4,025.22/x
  3. Step 3: Cross multiply
    7,382.46x = 10,187.54 × 4,025.22
  4. Step 4: Simplify right side
    7,382.46x = 41,007,089.76
  5. Step 5: Solve for x
    x = 41,007,089.76/7,382.46
  6. Step 6: Final answer
    x = 5,554.66

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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.