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Finding the Fourth Proportional to 8,340.88, 11,512.44 and 5,689.36

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Solution

The fourth proportional to 8,340.88, 11,512.44 and 5,689.36 is: 7,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.88 : 11,512.44 = 5,689.36 : x
  2. Step 2: Convert to fraction form
    8,340.88/11,512.44 = 5,689.36/x
  3. Step 3: Cross multiply
    8,340.88x = 11,512.44 × 5,689.36
  4. Step 4: Simplify right side
    8,340.88x = 65,498,415.64
  5. Step 5: Solve for x
    x = 65,498,415.64/8,340.88
  6. Step 6: Final answer
    x = 7,852.70

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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.