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Finding the Fourth Proportional to 11,806.65, 17,699.04 and 5,956.47

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Solution

The fourth proportional to 11,806.65, 17,699.04 and 5,956.47 is: 8,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.65 : 17,699.04 = 5,956.47 : x
  2. Step 2: Convert to fraction form
    11,806.65/17,699.04 = 5,956.47/x
  3. Step 3: Cross multiply
    11,806.65x = 17,699.04 × 5,956.47
  4. Step 4: Simplify right side
    11,806.65x = 105,423,800.79
  5. Step 5: Solve for x
    x = 105,423,800.79/11,806.65
  6. Step 6: Final answer
    x = 8,929.19

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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.