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Finding the Fourth Proportional to 7,243.68, 10,865.52 and 3,780.12

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Solution

The fourth proportional to 7,243.68, 10,865.52 and 3,780.12 is: 5,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.68 : 10,865.52 = 3,780.12 : x
  2. Step 2: Convert to fraction form
    7,243.68/10,865.52 = 3,780.12/x
  3. Step 3: Cross multiply
    7,243.68x = 10,865.52 × 3,780.12
  4. Step 4: Simplify right side
    7,243.68x = 41,072,969.46
  5. Step 5: Solve for x
    x = 41,072,969.46/7,243.68
  6. Step 6: Final answer
    x = 5,670.18

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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.