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Finding the Fourth Proportional to 8,141.84, 11,235.78 and 4,415.84

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Solution

The fourth proportional to 8,141.84, 11,235.78 and 4,415.84 is: 6,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.84 : 11,235.78 = 4,415.84 : x
  2. Step 2: Convert to fraction form
    8,141.84/11,235.78 = 4,415.84/x
  3. Step 3: Cross multiply
    8,141.84x = 11,235.78 × 4,415.84
  4. Step 4: Simplify right side
    8,141.84x = 49,615,406.76
  5. Step 5: Solve for x
    x = 49,615,406.76/8,141.84
  6. Step 6: Final answer
    x = 6,093.88

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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.