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Finding the Fourth Proportional to 11,419.20, 15,757.92 and 6,703.56

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Solution

The fourth proportional to 11,419.20, 15,757.92 and 6,703.56 is: 9,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.20 : 15,757.92 = 6,703.56 : x
  2. Step 2: Convert to fraction form
    11,419.20/15,757.92 = 6,703.56/x
  3. Step 3: Cross multiply
    11,419.20x = 15,757.92 × 6,703.56
  4. Step 4: Simplify right side
    11,419.20x = 105,634,162.20
  5. Step 5: Solve for x
    x = 105,634,162.20/11,419.20
  6. Step 6: Final answer
    x = 9,250.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.