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Finding the Fourth Proportional to 7,182.68, 10,750.93 and 3,842.59

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Solution

The fourth proportional to 7,182.68, 10,750.93 and 3,842.59 is: 5,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.68 : 10,750.93 = 3,842.59 : x
  2. Step 2: Convert to fraction form
    7,182.68/10,750.93 = 3,842.59/x
  3. Step 3: Cross multiply
    7,182.68x = 10,750.93 × 3,842.59
  4. Step 4: Simplify right side
    7,182.68x = 41,311,399.78
  5. Step 5: Solve for x
    x = 41,311,399.78/7,182.68
  6. Step 6: Final answer
    x = 5,751.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.