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Finding the Fourth Proportional to 8,186.84, 11,295.87 and 4,781.93

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Solution

The fourth proportional to 8,186.84, 11,295.87 and 4,781.93 is: 6,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.84 : 11,295.87 = 4,781.93 : x
  2. Step 2: Convert to fraction form
    8,186.84/11,295.87 = 4,781.93/x
  3. Step 3: Cross multiply
    8,186.84x = 11,295.87 × 4,781.93
  4. Step 4: Simplify right side
    8,186.84x = 54,016,003.15
  5. Step 5: Solve for x
    x = 54,016,003.15/8,186.84
  6. Step 6: Final answer
    x = 6,597.91

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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.