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Finding the Fourth Proportional to 7,858.53, 11,758.73 and 6,917.04

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Solution

The fourth proportional to 7,858.53, 11,758.73 and 6,917.04 is: 10,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.53 : 11,758.73 = 6,917.04 : x
  2. Step 2: Convert to fraction form
    7,858.53/11,758.73 = 6,917.04/x
  3. Step 3: Cross multiply
    7,858.53x = 11,758.73 × 6,917.04
  4. Step 4: Simplify right side
    7,858.53x = 81,335,571.17
  5. Step 5: Solve for x
    x = 81,335,571.17/7,858.53
  6. Step 6: Final answer
    x = 10,349.97

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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.