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Finding the Fourth Proportional to 7,313.32, 10,974.44 and 3,418

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Solution

The fourth proportional to 7,313.32, 10,974.44 and 3,418 is: 5,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.32 : 10,974.44 = 3,418 : x
  2. Step 2: Convert to fraction form
    7,313.32/10,974.44 = 3,418/x
  3. Step 3: Cross multiply
    7,313.32x = 10,974.44 × 3,418
  4. Step 4: Simplify right side
    7,313.32x = 37,510,635.92
  5. Step 5: Solve for x
    x = 37,510,635.92/7,313.32
  6. Step 6: Final answer
    x = 5,129.08

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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.