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Finding the Fourth Proportional to 11,109.86, 16,656.54 and 6,726.26

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Solution

The fourth proportional to 11,109.86, 16,656.54 and 6,726.26 is: 10,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.86 : 16,656.54 = 6,726.26 : x
  2. Step 2: Convert to fraction form
    11,109.86/16,656.54 = 6,726.26/x
  3. Step 3: Cross multiply
    11,109.86x = 16,656.54 × 6,726.26
  4. Step 4: Simplify right side
    11,109.86x = 112,036,218.74
  5. Step 5: Solve for x
    x = 112,036,218.74/11,109.86
  6. Step 6: Final answer
    x = 10,084.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.