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Finding the Fourth Proportional to 11,378.34, 17,057.93 and 4,354.56

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Solution

The fourth proportional to 11,378.34, 17,057.93 and 4,354.56 is: 6,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.34 : 17,057.93 = 4,354.56 : x
  2. Step 2: Convert to fraction form
    11,378.34/17,057.93 = 4,354.56/x
  3. Step 3: Cross multiply
    11,378.34x = 17,057.93 × 4,354.56
  4. Step 4: Simplify right side
    11,378.34x = 74,279,757.89
  5. Step 5: Solve for x
    x = 74,279,757.89/11,378.34
  6. Step 6: Final answer
    x = 6,528.17

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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.