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Finding the Fourth Proportional to 7,509.32, 10,361.96 and 4,151.68

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Solution

The fourth proportional to 7,509.32, 10,361.96 and 4,151.68 is: 5,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.32 : 10,361.96 = 4,151.68 : x
  2. Step 2: Convert to fraction form
    7,509.32/10,361.96 = 4,151.68/x
  3. Step 3: Cross multiply
    7,509.32x = 10,361.96 × 4,151.68
  4. Step 4: Simplify right side
    7,509.32x = 43,019,542.09
  5. Step 5: Solve for x
    x = 43,019,542.09/7,509.32
  6. Step 6: Final answer
    x = 5,728.82

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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.