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Finding the Fourth Proportional to 11,578, 17,367.80 and 5,733.04

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Solution

The fourth proportional to 11,578, 17,367.80 and 5,733.04 is: 8,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578 : 17,367.80 = 5,733.04 : x
  2. Step 2: Convert to fraction form
    11,578/17,367.80 = 5,733.04/x
  3. Step 3: Cross multiply
    11,578x = 17,367.80 × 5,733.04
  4. Step 4: Simplify right side
    11,578x = 99,570,292.11
  5. Step 5: Solve for x
    x = 99,570,292.11/11,578
  6. Step 6: Final answer
    x = 8,599.96

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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.