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Finding the Fourth Proportional to 7,662.88, 11,476.14 and 4,732.36

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Solution

The fourth proportional to 7,662.88, 11,476.14 and 4,732.36 is: 7,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.88 : 11,476.14 = 4,732.36 : x
  2. Step 2: Convert to fraction form
    7,662.88/11,476.14 = 4,732.36/x
  3. Step 3: Cross multiply
    7,662.88x = 11,476.14 × 4,732.36
  4. Step 4: Simplify right side
    7,662.88x = 54,309,225.89
  5. Step 5: Solve for x
    x = 54,309,225.89/7,662.88
  6. Step 6: Final answer
    x = 7,087.31

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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.