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Finding the Fourth Proportional to 7,618.32, 11,428.56 and 3,726

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Solution

The fourth proportional to 7,618.32, 11,428.56 and 3,726 is: 5,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.32 : 11,428.56 = 3,726 : x
  2. Step 2: Convert to fraction form
    7,618.32/11,428.56 = 3,726/x
  3. Step 3: Cross multiply
    7,618.32x = 11,428.56 × 3,726
  4. Step 4: Simplify right side
    7,618.32x = 42,582,814.56
  5. Step 5: Solve for x
    x = 42,582,814.56/7,618.32
  6. Step 6: Final answer
    x = 5,589.53

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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.