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Finding the Fourth Proportional to 10,512.32, 14,512.94 and 6,980.36

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Solution

The fourth proportional to 10,512.32, 14,512.94 and 6,980.36 is: 9,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.32 : 14,512.94 = 6,980.36 : x
  2. Step 2: Convert to fraction form
    10,512.32/14,512.94 = 6,980.36/x
  3. Step 3: Cross multiply
    10,512.32x = 14,512.94 × 6,980.36
  4. Step 4: Simplify right side
    10,512.32x = 101,305,438.39
  5. Step 5: Solve for x
    x = 101,305,438.39/10,512.32
  6. Step 6: Final answer
    x = 9,636.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.