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Finding the Fourth Proportional to 7,878.75, 10,874.51 and 4,896.82

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Solution

The fourth proportional to 7,878.75, 10,874.51 and 4,896.82 is: 6,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.75 : 10,874.51 = 4,896.82 : x
  2. Step 2: Convert to fraction form
    7,878.75/10,874.51 = 4,896.82/x
  3. Step 3: Cross multiply
    7,878.75x = 10,874.51 × 4,896.82
  4. Step 4: Simplify right side
    7,878.75x = 53,250,518.06
  5. Step 5: Solve for x
    x = 53,250,518.06/7,878.75
  6. Step 6: Final answer
    x = 6,758.75

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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.