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Finding the Fourth Proportional to 7,588.71, 11,375.71 and 3,892.68

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Solution

The fourth proportional to 7,588.71, 11,375.71 and 3,892.68 is: 5,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.71 : 11,375.71 = 3,892.68 : x
  2. Step 2: Convert to fraction form
    7,588.71/11,375.71 = 3,892.68/x
  3. Step 3: Cross multiply
    7,588.71x = 11,375.71 × 3,892.68
  4. Step 4: Simplify right side
    7,588.71x = 44,281,989.07
  5. Step 5: Solve for x
    x = 44,281,989.07/7,588.71
  6. Step 6: Final answer
    x = 5,835.25

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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.