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Finding the Fourth Proportional to 8,141.78, 11,235.60 and 4,415.78

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Solution

The fourth proportional to 8,141.78, 11,235.60 and 4,415.78 is: 6,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.78 : 11,235.60 = 4,415.78 : x
  2. Step 2: Convert to fraction form
    8,141.78/11,235.60 = 4,415.78/x
  3. Step 3: Cross multiply
    8,141.78x = 11,235.60 × 4,415.78
  4. Step 4: Simplify right side
    8,141.78x = 49,613,937.77
  5. Step 5: Solve for x
    x = 49,613,937.77/8,141.78
  6. Step 6: Final answer
    x = 6,093.75

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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.