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Finding the Fourth Proportional to 11,021.86, 15,205.08 and 6,543.08

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Solution

The fourth proportional to 11,021.86, 15,205.08 and 6,543.08 is: 9,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.86 : 15,205.08 = 6,543.08 : x
  2. Step 2: Convert to fraction form
    11,021.86/15,205.08 = 6,543.08/x
  3. Step 3: Cross multiply
    11,021.86x = 15,205.08 × 6,543.08
  4. Step 4: Simplify right side
    11,021.86x = 99,488,054.85
  5. Step 5: Solve for x
    x = 99,488,054.85/11,021.86
  6. Step 6: Final answer
    x = 9,026.43

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