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Finding the Fourth Proportional to 8,480.02, 11,702.42 and 4,942.55

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Solution

The fourth proportional to 8,480.02, 11,702.42 and 4,942.55 is: 6,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.02 : 11,702.42 = 4,942.55 : x
  2. Step 2: Convert to fraction form
    8,480.02/11,702.42 = 4,942.55/x
  3. Step 3: Cross multiply
    8,480.02x = 11,702.42 × 4,942.55
  4. Step 4: Simplify right side
    8,480.02x = 57,839,749.82
  5. Step 5: Solve for x
    x = 57,839,749.82/8,480.02
  6. Step 6: Final answer
    x = 6,820.71

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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.