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Finding the Fourth Proportional to 11,838.58, 16,328 and 7,590.04

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Solution

The fourth proportional to 11,838.58, 16,328 and 7,590.04 is: 10,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.58 : 16,328 = 7,590.04 : x
  2. Step 2: Convert to fraction form
    11,838.58/16,328 = 7,590.04/x
  3. Step 3: Cross multiply
    11,838.58x = 16,328 × 7,590.04
  4. Step 4: Simplify right side
    11,838.58x = 123,930,173.12
  5. Step 5: Solve for x
    x = 123,930,173.12/11,838.58
  6. Step 6: Final answer
    x = 10,468.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.