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Finding the Fourth Proportional to 11,607.91, 17,409.65 and 3,285.92

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Solution

The fourth proportional to 11,607.91, 17,409.65 and 3,285.92 is: 4,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.91 : 17,409.65 = 3,285.92 : x
  2. Step 2: Convert to fraction form
    11,607.91/17,409.65 = 3,285.92/x
  3. Step 3: Cross multiply
    11,607.91x = 17,409.65 × 3,285.92
  4. Step 4: Simplify right side
    11,607.91x = 57,206,717.13
  5. Step 5: Solve for x
    x = 57,206,717.13/11,607.91
  6. Step 6: Final answer
    x = 4,928.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.