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Finding the Fourth Proportional to 8,694.77, 12,001.64 and 5,291.78

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Solution

The fourth proportional to 8,694.77, 12,001.64 and 5,291.78 is: 7,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.77 : 12,001.64 = 5,291.78 : x
  2. Step 2: Convert to fraction form
    8,694.77/12,001.64 = 5,291.78/x
  3. Step 3: Cross multiply
    8,694.77x = 12,001.64 × 5,291.78
  4. Step 4: Simplify right side
    8,694.77x = 63,509,952.05
  5. Step 5: Solve for x
    x = 63,509,952.05/8,694.77
  6. Step 6: Final answer
    x = 7,304.39

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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.