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Finding the Fourth Proportional to 7,284.14, 10,926.20 and 1,812.14

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Solution

The fourth proportional to 7,284.14, 10,926.20 and 1,812.14 is: 2,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.14 : 10,926.20 = 1,812.14 : x
  2. Step 2: Convert to fraction form
    7,284.14/10,926.20 = 1,812.14/x
  3. Step 3: Cross multiply
    7,284.14x = 10,926.20 × 1,812.14
  4. Step 4: Simplify right side
    7,284.14x = 19,799,804.07
  5. Step 5: Solve for x
    x = 19,799,804.07/7,284.14
  6. Step 6: Final answer
    x = 2,718.21

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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.