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Finding the Fourth Proportional to 7,237.74, 10,857.96 and 3,289.28

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Solution

The fourth proportional to 7,237.74, 10,857.96 and 3,289.28 is: 4,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.74 : 10,857.96 = 3,289.28 : x
  2. Step 2: Convert to fraction form
    7,237.74/10,857.96 = 3,289.28/x
  3. Step 3: Cross multiply
    7,237.74x = 10,857.96 × 3,289.28
  4. Step 4: Simplify right side
    7,237.74x = 35,714,870.67
  5. Step 5: Solve for x
    x = 35,714,870.67/7,237.74
  6. Step 6: Final answer
    x = 4,934.53

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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.