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Finding the Fourth Proportional to 11,770.14, 17,655.20 and 3,005.06

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Solution

The fourth proportional to 11,770.14, 17,655.20 and 3,005.06 is: 4,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.14 : 17,655.20 = 3,005.06 : x
  2. Step 2: Convert to fraction form
    11,770.14/17,655.20 = 3,005.06/x
  3. Step 3: Cross multiply
    11,770.14x = 17,655.20 × 3,005.06
  4. Step 4: Simplify right side
    11,770.14x = 53,054,935.31
  5. Step 5: Solve for x
    x = 53,054,935.31/11,770.14
  6. Step 6: Final answer
    x = 4,507.59

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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.