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Finding the Fourth Proportional to 7,382.71, 11,071.65 and 2,451.01

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Solution

The fourth proportional to 7,382.71, 11,071.65 and 2,451.01 is: 3,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.71 : 11,071.65 = 2,451.01 : x
  2. Step 2: Convert to fraction form
    7,382.71/11,071.65 = 2,451.01/x
  3. Step 3: Cross multiply
    7,382.71x = 11,071.65 × 2,451.01
  4. Step 4: Simplify right side
    7,382.71x = 27,136,724.87
  5. Step 5: Solve for x
    x = 27,136,724.87/7,382.71
  6. Step 6: Final answer
    x = 3,675.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.