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Finding the Fourth Proportional to 11,578.26, 15,978.69 and 6,543.27

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Solution

The fourth proportional to 11,578.26, 15,978.69 and 6,543.27 is: 9,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.26 : 15,978.69 = 6,543.27 : x
  2. Step 2: Convert to fraction form
    11,578.26/15,978.69 = 6,543.27/x
  3. Step 3: Cross multiply
    11,578.26x = 15,978.69 × 6,543.27
  4. Step 4: Simplify right side
    11,578.26x = 104,552,882.92
  5. Step 5: Solve for x
    x = 104,552,882.92/11,578.26
  6. Step 6: Final answer
    x = 9,030.10

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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.