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Finding the Fourth Proportional to 11,775.16, 17,651.22 and 5,623.48

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Solution

The fourth proportional to 11,775.16, 17,651.22 and 5,623.48 is: 8,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.16 : 17,651.22 = 5,623.48 : x
  2. Step 2: Convert to fraction form
    11,775.16/17,651.22 = 5,623.48/x
  3. Step 3: Cross multiply
    11,775.16x = 17,651.22 × 5,623.48
  4. Step 4: Simplify right side
    11,775.16x = 99,261,282.65
  5. Step 5: Solve for x
    x = 99,261,282.65/11,775.16
  6. Step 6: Final answer
    x = 8,429.72

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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.