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Finding the Fourth Proportional to 7,289.06, 10,057.97 and 4,145.31

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Solution

The fourth proportional to 7,289.06, 10,057.97 and 4,145.31 is: 5,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.06 : 10,057.97 = 4,145.31 : x
  2. Step 2: Convert to fraction form
    7,289.06/10,057.97 = 4,145.31/x
  3. Step 3: Cross multiply
    7,289.06x = 10,057.97 × 4,145.31
  4. Step 4: Simplify right side
    7,289.06x = 41,693,403.62
  5. Step 5: Solve for x
    x = 41,693,403.62/7,289.06
  6. Step 6: Final answer
    x = 5,720.00

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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.