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Finding the Fourth Proportional to 12,009.76, 16,572.78 and 6,704.91

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Solution

The fourth proportional to 12,009.76, 16,572.78 and 6,704.91 is: 9,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.76 : 16,572.78 = 6,704.91 : x
  2. Step 2: Convert to fraction form
    12,009.76/16,572.78 = 6,704.91/x
  3. Step 3: Cross multiply
    12,009.76x = 16,572.78 × 6,704.91
  4. Step 4: Simplify right side
    12,009.76x = 111,118,964.83
  5. Step 5: Solve for x
    x = 111,118,964.83/12,009.76
  6. Step 6: Final answer
    x = 9,252.39

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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.