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Finding the Fourth Proportional to 7,278.50, 10,918.30 and 2,084.78

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Solution

The fourth proportional to 7,278.50, 10,918.30 and 2,084.78 is: 3,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.50 : 10,918.30 = 2,084.78 : x
  2. Step 2: Convert to fraction form
    7,278.50/10,918.30 = 2,084.78/x
  3. Step 3: Cross multiply
    7,278.50x = 10,918.30 × 2,084.78
  4. Step 4: Simplify right side
    7,278.50x = 22,762,253.47
  5. Step 5: Solve for x
    x = 22,762,253.47/7,278.50
  6. Step 6: Final answer
    x = 3,127.33

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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.