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Finding the Fourth Proportional to 7,431.89, 10,256.01 and 4,288.08

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Solution

The fourth proportional to 7,431.89, 10,256.01 and 4,288.08 is: 5,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.89 : 10,256.01 = 4,288.08 : x
  2. Step 2: Convert to fraction form
    7,431.89/10,256.01 = 4,288.08/x
  3. Step 3: Cross multiply
    7,431.89x = 10,256.01 × 4,288.08
  4. Step 4: Simplify right side
    7,431.89x = 43,978,591.36
  5. Step 5: Solve for x
    x = 43,978,591.36/7,431.89
  6. Step 6: Final answer
    x = 5,917.55

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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.