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Finding the Fourth Proportional to 8,186.94, 11,285.73 and 6,415.47

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Solution

The fourth proportional to 8,186.94, 11,285.73 and 6,415.47 is: 8,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.94 : 11,285.73 = 6,415.47 : x
  2. Step 2: Convert to fraction form
    8,186.94/11,285.73 = 6,415.47/x
  3. Step 3: Cross multiply
    8,186.94x = 11,285.73 × 6,415.47
  4. Step 4: Simplify right side
    8,186.94x = 72,403,262.24
  5. Step 5: Solve for x
    x = 72,403,262.24/8,186.94
  6. Step 6: Final answer
    x = 8,843.75

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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.