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Finding the Fourth Proportional to 8,291.78, 11,434.77 and 6,400.34

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Solution

The fourth proportional to 8,291.78, 11,434.77 and 6,400.34 is: 8,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.78 : 11,434.77 = 6,400.34 : x
  2. Step 2: Convert to fraction form
    8,291.78/11,434.77 = 6,400.34/x
  3. Step 3: Cross multiply
    8,291.78x = 11,434.77 × 6,400.34
  4. Step 4: Simplify right side
    8,291.78x = 73,186,415.82
  5. Step 5: Solve for x
    x = 73,186,415.82/8,291.78
  6. Step 6: Final answer
    x = 8,826.38

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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.