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Finding the Fourth Proportional to 8,106.25, 11,186.64 and 4,380.25

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Solution

The fourth proportional to 8,106.25, 11,186.64 and 4,380.25 is: 6,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.25 : 11,186.64 = 4,380.25 : x
  2. Step 2: Convert to fraction form
    8,106.25/11,186.64 = 4,380.25/x
  3. Step 3: Cross multiply
    8,106.25x = 11,186.64 × 4,380.25
  4. Step 4: Simplify right side
    8,106.25x = 49,000,279.86
  5. Step 5: Solve for x
    x = 49,000,279.86/8,106.25
  6. Step 6: Final answer
    x = 6,044.75

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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.