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Finding the Fourth Proportional to 8,106.19, 11,186.54 and 4,380.19

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Solution

The fourth proportional to 8,106.19, 11,186.54 and 4,380.19 is: 6,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.19 : 11,186.54 = 4,380.19 : x
  2. Step 2: Convert to fraction form
    8,106.19/11,186.54 = 4,380.19/x
  3. Step 3: Cross multiply
    8,106.19x = 11,186.54 × 4,380.19
  4. Step 4: Simplify right side
    8,106.19x = 48,999,137.20
  5. Step 5: Solve for x
    x = 48,999,137.20/8,106.19
  6. Step 6: Final answer
    x = 6,044.66

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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.