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Finding the Fourth Proportional to 7,007.98, 10,512.01 and 2,077.66

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Solution

The fourth proportional to 7,007.98, 10,512.01 and 2,077.66 is: 3,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.98 : 10,512.01 = 2,077.66 : x
  2. Step 2: Convert to fraction form
    7,007.98/10,512.01 = 2,077.66/x
  3. Step 3: Cross multiply
    7,007.98x = 10,512.01 × 2,077.66
  4. Step 4: Simplify right side
    7,007.98x = 21,840,351.22
  5. Step 5: Solve for x
    x = 21,840,351.22/7,007.98
  6. Step 6: Final answer
    x = 3,116.50

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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.