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Finding the Fourth Proportional to 7,878.44, 11,774.61 and 7,255.72

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Solution

The fourth proportional to 7,878.44, 11,774.61 and 7,255.72 is: 10,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.44 : 11,774.61 = 7,255.72 : x
  2. Step 2: Convert to fraction form
    7,878.44/11,774.61 = 7,255.72/x
  3. Step 3: Cross multiply
    7,878.44x = 11,774.61 × 7,255.72
  4. Step 4: Simplify right side
    7,878.44x = 85,433,273.27
  5. Step 5: Solve for x
    x = 85,433,273.27/7,878.44
  6. Step 6: Final answer
    x = 10,843.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.