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Finding the Fourth Proportional to 7,009.62, 10,512.60 and 2,077.94

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Solution

The fourth proportional to 7,009.62, 10,512.60 and 2,077.94 is: 3,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.62 : 10,512.60 = 2,077.94 : x
  2. Step 2: Convert to fraction form
    7,009.62/10,512.60 = 2,077.94/x
  3. Step 3: Cross multiply
    7,009.62x = 10,512.60 × 2,077.94
  4. Step 4: Simplify right side
    7,009.62x = 21,844,499.48
  5. Step 5: Solve for x
    x = 21,844,499.48/7,009.62
  6. Step 6: Final answer
    x = 3,116.36

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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.