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Finding the Fourth Proportional to 11,803.65, 17,694.54 and 5,953.47

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Solution

The fourth proportional to 11,803.65, 17,694.54 and 5,953.47 is: 8,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.65 : 17,694.54 = 5,953.47 : x
  2. Step 2: Convert to fraction form
    11,803.65/17,694.54 = 5,953.47/x
  3. Step 3: Cross multiply
    11,803.65x = 17,694.54 × 5,953.47
  4. Step 4: Simplify right side
    11,803.65x = 105,343,913.05
  5. Step 5: Solve for x
    x = 105,343,913.05/11,803.65
  6. Step 6: Final answer
    x = 8,924.69

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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.