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Finding the Fourth Proportional to 7,849.72, 11,827.78 and 6,493.48

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Solution

The fourth proportional to 7,849.72, 11,827.78 and 6,493.48 is: 9,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.72 : 11,827.78 = 6,493.48 : x
  2. Step 2: Convert to fraction form
    7,849.72/11,827.78 = 6,493.48/x
  3. Step 3: Cross multiply
    7,849.72x = 11,827.78 × 6,493.48
  4. Step 4: Simplify right side
    7,849.72x = 76,803,452.87
  5. Step 5: Solve for x
    x = 76,803,452.87/7,849.72
  6. Step 6: Final answer
    x = 9,784.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.