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Finding the Fourth Proportional to 7,270.32, 10,907.16 and 2,076.20

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Solution

The fourth proportional to 7,270.32, 10,907.16 and 2,076.20 is: 3,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.32 : 10,907.16 = 2,076.20 : x
  2. Step 2: Convert to fraction form
    7,270.32/10,907.16 = 2,076.20/x
  3. Step 3: Cross multiply
    7,270.32x = 10,907.16 × 2,076.20
  4. Step 4: Simplify right side
    7,270.32x = 22,645,424.17
  5. Step 5: Solve for x
    x = 22,645,424.17/7,270.32
  6. Step 6: Final answer
    x = 3,114.78

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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.