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Finding the Fourth Proportional to 7,270.40, 10,907.40 and 2,076.26

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Solution

The fourth proportional to 7,270.40, 10,907.40 and 2,076.26 is: 3,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.40 : 10,907.40 = 2,076.26 : x
  2. Step 2: Convert to fraction form
    7,270.40/10,907.40 = 2,076.26/x
  3. Step 3: Cross multiply
    7,270.40x = 10,907.40 × 2,076.26
  4. Step 4: Simplify right side
    7,270.40x = 22,646,598.32
  5. Step 5: Solve for x
    x = 22,646,598.32/7,270.40
  6. Step 6: Final answer
    x = 3,114.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.