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Finding the Fourth Proportional to 7,378.16, 11,057.16 and 3,908.48

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Solution

The fourth proportional to 7,378.16, 11,057.16 and 3,908.48 is: 5,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.16 : 11,057.16 = 3,908.48 : x
  2. Step 2: Convert to fraction form
    7,378.16/11,057.16 = 3,908.48/x
  3. Step 3: Cross multiply
    7,378.16x = 11,057.16 × 3,908.48
  4. Step 4: Simplify right side
    7,378.16x = 43,216,688.72
  5. Step 5: Solve for x
    x = 43,216,688.72/7,378.16
  6. Step 6: Final answer
    x = 5,857.38

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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.