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Finding the Fourth Proportional to 7,509.09, 10,362.74 and 4,151.94

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Solution

The fourth proportional to 7,509.09, 10,362.74 and 4,151.94 is: 5,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.09 : 10,362.74 = 4,151.94 : x
  2. Step 2: Convert to fraction form
    7,509.09/10,362.74 = 4,151.94/x
  3. Step 3: Cross multiply
    7,509.09x = 10,362.74 × 4,151.94
  4. Step 4: Simplify right side
    7,509.09x = 43,025,473.39
  5. Step 5: Solve for x
    x = 43,025,473.39/7,509.09
  6. Step 6: Final answer
    x = 5,729.79

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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.