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Finding the Fourth Proportional to 7,654.51, 11,472.20 and 3,266.84

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Solution

The fourth proportional to 7,654.51, 11,472.20 and 3,266.84 is: 4,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.51 : 11,472.20 = 3,266.84 : x
  2. Step 2: Convert to fraction form
    7,654.51/11,472.20 = 3,266.84/x
  3. Step 3: Cross multiply
    7,654.51x = 11,472.20 × 3,266.84
  4. Step 4: Simplify right side
    7,654.51x = 37,477,825.51
  5. Step 5: Solve for x
    x = 37,477,825.51/7,654.51
  6. Step 6: Final answer
    x = 4,896.18

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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.