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Finding the Fourth Proportional to 7,384.72, 11,086.80 and 5,194.48

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Solution

The fourth proportional to 7,384.72, 11,086.80 and 5,194.48 is: 7,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.72 : 11,086.80 = 5,194.48 : x
  2. Step 2: Convert to fraction form
    7,384.72/11,086.80 = 5,194.48/x
  3. Step 3: Cross multiply
    7,384.72x = 11,086.80 × 5,194.48
  4. Step 4: Simplify right side
    7,384.72x = 57,590,160.86
  5. Step 5: Solve for x
    x = 57,590,160.86/7,384.72
  6. Step 6: Final answer
    x = 7,798.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.