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Finding the Fourth Proportional to 8,078.86, 11,146.89 and 5,384.75

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Solution

The fourth proportional to 8,078.86, 11,146.89 and 5,384.75 is: 7,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.86 : 11,146.89 = 5,384.75 : x
  2. Step 2: Convert to fraction form
    8,078.86/11,146.89 = 5,384.75/x
  3. Step 3: Cross multiply
    8,078.86x = 11,146.89 × 5,384.75
  4. Step 4: Simplify right side
    8,078.86x = 60,023,215.93
  5. Step 5: Solve for x
    x = 60,023,215.93/8,078.86
  6. Step 6: Final answer
    x = 7,429.66

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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.