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Finding the Fourth Proportional to 7,827.45, 11,749.82 and 6,194.49

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Solution

The fourth proportional to 7,827.45, 11,749.82 and 6,194.49 is: 9,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.45 : 11,749.82 = 6,194.49 : x
  2. Step 2: Convert to fraction form
    7,827.45/11,749.82 = 6,194.49/x
  3. Step 3: Cross multiply
    7,827.45x = 11,749.82 × 6,194.49
  4. Step 4: Simplify right side
    7,827.45x = 72,784,111.52
  5. Step 5: Solve for x
    x = 72,784,111.52/7,827.45
  6. Step 6: Final answer
    x = 9,298.57

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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.