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Finding the Fourth Proportional to 7,588.80, 11,383.11 and 4,628.13

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Solution

The fourth proportional to 7,588.80, 11,383.11 and 4,628.13 is: 6,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.80 : 11,383.11 = 4,628.13 : x
  2. Step 2: Convert to fraction form
    7,588.80/11,383.11 = 4,628.13/x
  3. Step 3: Cross multiply
    7,588.80x = 11,383.11 × 4,628.13
  4. Step 4: Simplify right side
    7,588.80x = 52,682,512.88
  5. Step 5: Solve for x
    x = 52,682,512.88/7,588.80
  6. Step 6: Final answer
    x = 6,942.14

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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.