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Finding the Fourth Proportional to 7,588.71, 11,382.65 and 2,910.96

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Solution

The fourth proportional to 7,588.71, 11,382.65 and 2,910.96 is: 4,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.71 : 11,382.65 = 2,910.96 : x
  2. Step 2: Convert to fraction form
    7,588.71/11,382.65 = 2,910.96/x
  3. Step 3: Cross multiply
    7,588.71x = 11,382.65 × 2,910.96
  4. Step 4: Simplify right side
    7,588.71x = 33,134,367.38
  5. Step 5: Solve for x
    x = 33,134,367.38/7,588.71
  6. Step 6: Final answer
    x = 4,366.27

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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.