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Finding the Fourth Proportional to 7,509.26, 10,361.87 and 4,151.61

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Solution

The fourth proportional to 7,509.26, 10,361.87 and 4,151.61 is: 5,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.26 : 10,361.87 = 4,151.61 : x
  2. Step 2: Convert to fraction form
    7,509.26/10,361.87 = 4,151.61/x
  3. Step 3: Cross multiply
    7,509.26x = 10,361.87 × 4,151.61
  4. Step 4: Simplify right side
    7,509.26x = 43,018,422.35
  5. Step 5: Solve for x
    x = 43,018,422.35/7,509.26
  6. Step 6: Final answer
    x = 5,728.72

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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.