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Finding the Fourth Proportional to 7,500.94, 11,242.75 and 2,817.96

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Solution

The fourth proportional to 7,500.94, 11,242.75 and 2,817.96 is: 4,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.94 : 11,242.75 = 2,817.96 : x
  2. Step 2: Convert to fraction form
    7,500.94/11,242.75 = 2,817.96/x
  3. Step 3: Cross multiply
    7,500.94x = 11,242.75 × 2,817.96
  4. Step 4: Simplify right side
    7,500.94x = 31,681,619.79
  5. Step 5: Solve for x
    x = 31,681,619.79/7,500.94
  6. Step 6: Final answer
    x = 4,223.69

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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.