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Finding the Fourth Proportional to 7,278.64, 10,918.36 and 2,084.38

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Solution

The fourth proportional to 7,278.64, 10,918.36 and 2,084.38 is: 3,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.64 : 10,918.36 = 2,084.38 : x
  2. Step 2: Convert to fraction form
    7,278.64/10,918.36 = 2,084.38/x
  3. Step 3: Cross multiply
    7,278.64x = 10,918.36 × 2,084.38
  4. Step 4: Simplify right side
    7,278.64x = 22,758,011.22
  5. Step 5: Solve for x
    x = 22,758,011.22/7,278.64
  6. Step 6: Final answer
    x = 3,126.68

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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.