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Finding the Fourth Proportional to 11,770.31, 17,655.45 and 3,005.23

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Solution

The fourth proportional to 11,770.31, 17,655.45 and 3,005.23 is: 4,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.31 : 17,655.45 = 3,005.23 : x
  2. Step 2: Convert to fraction form
    11,770.31/17,655.45 = 3,005.23/x
  3. Step 3: Cross multiply
    11,770.31x = 17,655.45 × 3,005.23
  4. Step 4: Simplify right side
    11,770.31x = 53,058,688.00
  5. Step 5: Solve for x
    x = 53,058,688.00/11,770.31
  6. Step 6: Final answer
    x = 4,507.84

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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.